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1. Which magnitude vary under the law of cosine and sine a harmonious
oscillation?
A) the displacement, speed, acceleration
B) the period, frequency, speed
C) the displacement, a phase, acceleration
D) the displacement, a phase, speed
E) the displacement, a phase, the period
2. What expression defines the moment of inertia of a mathematical pendulum (  is a length of a pendulum, J - is the moment of inertia, m – is a mass of a body)?
2
A) J  m
2
B) J  m 
J
C)
m
2
2
J
m
D)
E) J  m
3. Specify the expression for amplitud value of acceleration at harmonious
oscillation of a body (  -is a cyclic frequency, A-is a amplitud of oscillation).
A)  2 A
B) A
C) A 2
D)  2 A 2
E)  3 A
4. Under what conditions is there a resonance (  0 - is the natural frequency,  - is
the frequency of the forced oscillations,  -is the damping ratio)?
A) =0
B) =
C) 0
D) =0
E) 0
5. The material point participates in two oscillatory movements of the identical
direction, with the same frequency and a difference of phases equals to zero.
Define a resultant amplitude (А1 and А2 are the amplitudes of oscillations
respectively).
A) А=А1+А2
B) А=А1
C) А=А1-А2
D) А=А2
E) А=0
6. Define resultant amplitude of two harmonious oscillations with amplitudes A1
.
and A2 at identical frequencies and directions (  2  1 is difference phases of
oscillations):
A)
B)
A
A12  A22  2 A1 A2 cos 2  1 
A
A12  A22
C) A  A1  A2
D)
A
A12  A22  2 A1 A2 cos 2  1 
E) ) A  A1  A2
7. Define resultant amplitude of two harmonious oscillations at  2  1  0 with
amplitudes A1 and A2 at identical frequencies and directions:
A) A  A1  A2
B) A  A1  A2
C)
D)
E)
A
A12  A22
A
A12  A22
A
A12  A22  A1 A2
8. The material point participates in two oscillatory movements in identical
directions with the same frequency. Define resultant amplitude at corresponding
amplitudes А1 and А2 and at a difference of phases equals 1800.
A) А=А1-А2
B) А=0
C) А=А1
D) А=А1+А2
E) А=А2
9. What expression defines amplitude of damping mechanical oscillations (А0 -is
the initial amplitude,  - is the damping ratio)?
A)
A  A0  e- t
B)
A  A0e  t

t
C) A = A0 e
t
D)
A = A0 e


E) A = A0 e
10. What expression defines amplitude of the forced mechanical oscillations (  damping ratio, f0 - is the amplitude value external force,  0 -is the natural
frequency,  - is the frequency of the forced oscillations)?
A
A)

m 02 -  2
A

B)
A
C)
A
D)
A
E)
f0

2
 4 2 2
f0
2
0

-  - 4 2 2
2
f0

m 02 -  2

2
- 4 2 2
f0
m  02  4 2 2
f0
m  02  4
11. Logarithmic decrement of damping is defined as (T-is the period,  -is the
damping ratio):
A)    T

B)

C)

T
T

D)     T
E)     T
12. What expression defines quality factor of a contour at damping mechanical
oscillations (  - is a logarithmic decrement of damping)?
Q


Q

2
A)
B)
C) Q  
2
D) Q  
E) Q  
13. What expression defines the period of damping mechanical oscillations (  -is
the damping ratio,  0 - is the natural frequency)?
T
A)
2
0 2 -  2
0
T
B)
2
0
C)
2
o - 
D)
T  02 -  2
T
T
E)
1
 -2
2
0
14. To specify the equation of movement of mechanical oscillations at influence
of external periodic force (f0- is the amplitude value of the external compelling
force coming on a mass unit,  - is the damping ratio,  0 - is natural frequency of
oscillations, x- is the displacement)?
A)
x //  2x /  02 x  f 0 cos t
B)
x //  2x /   02 x  0
C)
2x /  02 x  f 0 cos t
D)
x //  02 x  f 0 cos t
//
/
E) x  x  x  0
15. To specify the equation of movement of damping mechanical oscillations of
force (f0- is the peak value of the external compelling force coming on a mass
unit,  - is the damping ratio,  0 - is the natural frequency of oscillations, xdisplacement):
A)
x //  2x /   02 x  0
B)
x /  2 x  02 x //  0
//
/
C) x  x  x  0
D)
x //  2x /  02 x  f 0 cos t
E)
x //  2x /  f 0 cos 0t
16. The speed amplitude at harmonious oscillation is defined by the formula (A- is
the amplitude,  - is the frequency of oscillations):
A)
max   A
B)
 max   2 A
C)
D)
E)
 max 
 max 

A
A

max   A2
17. What expression defines energy of harmonious oscillations (A- is the
amplitude,  0 - is the natural frequency of oscillations, m - is the mass)?
m0 A2
2
A) E=
2
m0 A
2
B) E=
2
m0 A2
C) E= 2
m0 A
D) E= 2
m 2 0 A 2
2
E) E=
18. What formula expresses the differential equation of free mechanical
oscillations (х -is the displacement;  0 -is the cyclic frequency; A -is the
amplitude of oscillations)?
A)
x    02 x  0
B)
x    02 x  0
C)
x  A 2 x  0
D)
 02 x   x  0
E)
x    02 x 2  0
19. What expression defines the equation of damping mechanical oscillations (  is the damping ratio,  -is the circular frequency,  -is the initial phase, А0-is the
initial amplitude, t-is the time)?
A)
x  A0 e  t cos( t   )
B)
x  A0 cos( t   )
C)
x  A0 e t cos( t   )
D)
x  A0 e t cos( t   )
E)
20. What statements are true for damping ratio (r -is the damping coefficient,  -is
the damping ratio,  -is the logarithmic decrement of damping, Т –is the period of
oscillations)?
1- the damping ratio is defined by
r
2m
2- unit of measure of the damping ratio is
кg
s
3- the unit of measure of the damping ratio is
1
s

4- the damping ratio is T
T
5- the damping ratio is 
A) 1,3,4
B) 1,2,4
C) 1 & 5
D) 2 & 4
E) Only 1
21. How do the amplitude and energy change at damping oscillations?
A) the amplitude and energy decrease
B) the amplitude and energy increase
C) the amplitude increases, energy decrease
D) the amplitude decreases, and energy increase
E) the amplitude and energy do not change
22. Specify the expression of a relaxation time at damping mechanical oscilations
(  - is a damping factor):

A)
1

B)   

C)
1
2
2
D)   

E)
1
3
23. If the damping ratio  increases how will the amplitude of oscillations
change?
A) Decreases
B) Remains to a constant
C) increases in 4 times
D) increases in 3 times
E) increases in 2 times
k
 .... ?
24. In the formula э m
, ( k -is the spring constant, m - is the mass of a ball)?
A) Natural frequency
B) A deviation angle
C) Speed of a ball
D) Amplitude of oscillations
E) A phase of oscillations
25. Under what conditions has the amplitude of the forced oscillations infinitely
great value (  0 - is the resonance frequency,  -is the frequency of the forced
oscillations,  -is the damping ratio)?
A) =0
B) =
C) 0
D) =
E) =0
26. What expression defines amplitude of oscillations at a mechanical resonance
(f0 - is the force coming on a mass unit,  - is the damping ratio,  0 - is the natural
frequency of oscillations)?
A) Arez 
B) Arez 
C) Arez 
D) Arez 
E) Arez 
fo
2 02 -  2
fo
2 02 -  2
fo
 02 -  2
fo
202
fo
20
27. At what values   0 is there a resonance phenomenon at the forced
oscillations (  -is the forcing frequency,  0 -is the natural frequency of
oscillations)?
A) 1
B) 0
C) 2
1
D) 2
E) 
28. What physical magnitude is defined by expression
1
( X C -is a capacitive
2CX C
reactance, C-is a capacity of condenser)?
A) Frequency of an alternating current
B) Amplitude of voltage
C) Power of a current
D) Amplitude of force of a current
E) The period of oscillations of a current
29. What expression defines the amplitude value of a current (qm - the maximum
value of an electric charge,  0 - is the natural frequency)?
A)
I m  0 qm
B)
I m  0 qm2
C)
I m  0 q3m
Im 
0
D)
E)
qm
I m   02 qm
30. The unit, a physical magnitude corresponds to an expression Ф  H ?
A) The period of oscillations
B) Frequency of oscillations
C) Amplitude of oscillations
D) Forces of a current
E) A magnetic induction
31. What is unit of the initial phase at electromagnetic oscilations?
A) rad
B) rad/s
C) rad/s2
D) rad/s3
E) rad·s2
32. What communication between the maximum voltage and mechanical force of a
current at electromagnetic oscilations? (C- is a condenser capacity, L - is an
inductance of the coil)?
Um 
L
Im
C
Um 
C
Im
L
Um 
L
Im
C2
Um 
L
Im
C
A)
B)
C)
D)
Um 
E)
L 2
Im
C
33. What expression defines the equation of the established electromagnetic
oscilations ( qm -is a peak value of a charge,  - is a cyclic frequency,  –is a
difference of phases)?
A) q  qm cos(  t  )
B)
I  I m cos( t  )


q  q m cos  t  
2

C)


q  qm cos  t  
2

D)


q  qm cos  t   
2

E)
34. In what units the damping factor is expressed?
A) 1 / s
B) 1 / s 2
C) s
D) 1 / s 3
E) s 2
35. What expression defines the voltage amplitude of the electromagnetic
oscillations on the condenser (C- is the capacity of capacitor, qm – is the
amplitude value of an electric charge)?
A)
B)
Um =
qm
C
U m  qm2 C
2
C) U m = qmC
Um =
D)
C
qm
q m2
Um =
C
E)
36. What expression defines current amplitude which is passing through
inductive resistance (L - is the inductance,  - is the cyclic frequency, U m - is the
voltage amplitude)?
Um
A)  L
UmL
B)

C) U mL
D)
U m 2 L
E) U m L
37. What expression defines logarithmic decrement of the damping of electric
oscillations (R- is the active resistance, L- is the inductance of a contour,  - is
the cyclic frequency)?

A)
R
L
B)   L

C)
l
R
D)   R
R 2

L
E)
38. Which expression defines the equations of oscillation of a charge in an ideal
oscillatory contour (qm –is the charge of capacitor, during the initial moment,  is the frequency of oscillations,  -is an initial phase, t -is the time, Т -is the
period of oscillations)?
A)
q  q m cos( 2t   )
B)
q  q m cos( 2T   )
C) q  q m cos( 2t   )
D) q  q m cos( 2T   )
E)
q  q m cos( 4 2 2 t   )
39. What expression defines a phase of the forced oscillations? (  0 -is the natural
frequency,  -is the forcing frequency,  -is the is damping ratio?
tg 
A)
2 
02   2
2 
tg  0
2 
B)
2
tg 
202
2   2
tg 
2
 2
tg 
2 2
02   2
C)
D)
E)
2
0
40. What expression defines the current amplitude, during occurrence of
electromagnetic oscillations in an ideal oscillatory contour (Um -is the amplitude
of pressure, qm – the charge amplitude,  0 -is the cyclic frequency, Т -is the period
of oscillations)?
A) I m  q m 0
B) I m  U m 0
C)
D)
E)
Im 
q m 0
T
Im 
Um
T
Im 
qm
T
41. What expression defines the impedance Z in an AC circuits (R-is the active
resistance, L-is the inductance of a contour,  -is the cyclic frequency, C-is the
capacity)?
A)
B)
C)
Z  R 2  (L - 1/C ) 2
Z  R  (L)3
Z  ( R  C )2 - L
D)
Z  R  (1/ C - L ) 3
E) Z  L - 1/C
42. What expression defines the reactive resistance in an AC circuits containing
consistently included resistor, the coil of inductance and the condenser ( RL - is
the inductive reactance, RC -is the capacitive reactance, R-is the active
resistance)?
A) X  RL - RC
B) X  RL  RC
X 
Rc
RL  1
X=
D)
Rı
Rc
E)
X  RL - Rc
C)
43. The unit, a physical magnitude corresponds to an expression Hz·H is:
A) The resistance
B) The time
C) The capacities
D) The work
E) The voltage
44. What expression corresponds to the Ohm law in an AC circuits with the
condenser (  -is the cyclic frequency, C-is the capacity, U -is the voltage, I - is
the current)?
A) I  CU
2
B) I   CU
I
C)
U
C
D) I  CU
2
E) I  (C ) U
45. What expression defines the average capacity allocated in an AC circuits (Im,
Um –are the amplitudes of current and voltage, cos - is a power coefficient)?
I mU m
cos φ
A) 2
B)
I mU m
I mU m
cos φ
2
C)
I mU m
cos φ
D) 4
E) 2I mU m cos φ
46. What physical magnitude in an oscillatory contour is defined by expression
1
(L-is the inductance, C-is the capacity)?
LC
A) the natural frequency
B) the period of oscillations
C) the maximum value of a charge of the condenser
D) the instantaneous value of force of a current
E) the energy of a contour
47. The equation of free electromagnetic oscillations in an oscillatory contour
looks like ( q –is a charge, 0 -is natural frequency):
A)
q = -ω 02 q
B)
q = -ω0 q

C) q = ω0 q
q =
1
q
ω0
q =
1
q
ω 02
D)
E)
48. What is the reason of damping oscillations in a real oscillatory contour?
A) presence of active resistance in a contour
B) presence of capacitance in a contour
C) presence of inductive resistance in a contour
D) presence of reactive resistance in a contour
E) presence of alternating current in a contour
49. What expression defines the frequency of damping oscillations in an
oscillatory contour (R -is the active resistance, L -is the inductance of the coil, C is the capacity of condenser)?

1
R2
 2
LC 4 L

1
R
 2
LC 4 L
A)
B)

1
R2

LC 4C 2

1 R2

C L2

R C2

L 4L2
C)
D)
E)
50. What expression defines the instantaneous value of voltage in the oscillatory
contour in which active resistance is distinct from zero (Umo-is the initial value of
voltage amplitude, β damping ratio, ω-is the angular frequency, α –is initial
phase, t-is the time)?
A)
U  U m 0 e  t cost   


B) U  U m cos t  
U
C)
U m0
cost   
D)
U  U m 0 cost   
E)
U  U m0 e  t cost   
51. What expression defines the rms current in an AC circuits ( I m -is the current
amplitude)?
I
Im
2
A)
B) I  2I m
I
Im
4
I
Im
2
C)
D)
E) I  I m
52. What expression defines the rms voltage in an AC circuits ( U m -is the voltage
amplitude)?
U
A)
Um
2
B) U  2U m
U
C)
Um
4
Um
2
I
D)
E) U  U m
53. What expression defines capacity of a current in an AC circuits ( U m -is the
voltage amplitude, I m - is the current amplitude)?
I mU m
A) 2
B) I mU m
C)
I m2 R
I mU m
D)
2
I m2 R
E)
2
54. What expression defines the Ohm law, if in an AC circuits there is a condenser
(  -is the cyclic frequency, Т -is the period,  -is the frequency, Um –is the
voltage amplitude)?
A) I m  CU m
B)
C)
D)
E)
Im 
Um
C
Im 
Um
C
Im 
CU m
T
I m  CU m
55. What expression defines the impedance in an AC circuits (L -is the
inductance, C-is the capacity,  -is the cyclic frequency)?
Z  R 2  (L 
1 2
)
C
Z  R 2  (L 
1 2
)
C
A)
B)
Z  R 2  L 
C)
Z  L 
D)
1
C
1
C
Z  R2 
E)
1
C
56. The geometrical place of points which oscilations by time moment t reach, is
called:
A) wave front
B) a transverse wave
C) a wave surface
D) a longitudinal wave
E) amplitude of oscilations
57. In what units the elasticity factor is expressed?
A) 1/ Pa
B) Pa
C) 1 / Pa 2
D) Pa2
E) 1 / Pa 3
58. The equation of the running wave propagating opposite of axes Х, looks like
(  - is a cyclic frequency of a wave, k -is a wave number,  -is an initial phase):
A) S  A cos( t  kx   )
B) S  A cos( t  kx   )
C) S  A sin(  t   )
D) S  A sin(  t   )
E) S  A cos  t
59. In what units the wave vector is expressed?
A) 1 / m
B) m
C) 1 / m2
D) m 2
E) 1 / m 3
60. In what units Umov-Poynting vector is expressed?
A) W/m2
B) W·m2
C) m2 / W
D) W/m3
E) W/m
61. What expression defines the energy density of electric field ( D  is an electric
field induction, E – is an intensity of electric field)?
A) we 
DE
2
B) we  D / E
C) we 
DE 2
2
D) we 
D2 E
2
E) we  D 3 E
62. What expression defines density of energy of an electromagnetic wave (  - is
a dielectric permeability,  0 -is a electric constant, E - is an intensity of electric
field, H  is an intensity of a magnetic field,  0 -is a magnetic constant,  - is a
magnetic permeability)?
A) w  0 E 2 or w    0 0 EH
B) w   2 0 E 2 or w   EH
C) w  0 E 3 or w  0 EH
D) w 
E) w 
E2
0
 0
E2
or w    EH
or w   0 EH
63. What expression defines speed of propagation of a longitudinal wave (  -is
factor of elasticity of medium,  -is a density of medium)?

A)
1

B)   

C)

D)

E)




1

64. What expression defines speed of propagation of a longitudinal wave in the
substance (G- is the shear modulus, E- is the Yung’s modulus,  - is the
solid's density)?

E

G
A)


B)

C)

D)


E

G
EG
E)

65. What expression is true for wave number (  -is the cyclic frequency,  -is the
speed of a wave)?
1- the wave number shows, how many lengths of waves can keep within at length
numerically equal 6,28m
2-the wave number shows, how many lengths of waves can keep within at length
numerically equal 1m
3- the unit of measure of wave number m-1
4- the wave number is calculated by formula k 


5- the wave number is calculated by formula k 


A) 1,3 and 4
B) 2,3 and 5
C) 3 and 5
D) 1and 3
E) 1 and 5
66. There is a wave with amplitude A, frequency  in the substance volume V.
What expression defines average value of energy of a wave, if mass considered
volume is m?
1
m 2 A 2
2
A)
1
m A 2
B) 2
1
m 2 A
C) 2
2
D) mA
2 2
E) m A
67. What expression defines average value of the density of energy of an elastic
wave (m – mass of substance,  -is the density of substance,  -is the cyclic
frequency, A -is the amplitude)?
1
 2 A 2
A) 2
1
m 2 A 2
B) 2
1
A 2
C) 2
1
m A 2
D) 2
1
A
E) 2
68. What expression defines the wave number (  -is the length of waves)?
k=
A)
2π
λ
B) k = 2πλ
k=
2π
λ2
k=
λ
2π
C)
D)
E) k = ( λ + 1)π
69. Specify the equation of a running wave (  -is the speed of distribution of a
wave,  -is the cyclic frequency of a wave, t -is the time passage by a wave of
distance x ):

x
 ( x, t )  A cos   t  
 
A)

x

x
 ( x, t )  A2 cos   t  
 
B)
 ( x, t )  A cos 2   t  
 
C)
D)  ( x1t )  Acost

x
 ( x, t )  A cos   t 2  


E)
70. What properties don’t belong to electromagnetic waves?
1- These waves longitudinal
2- These waves transverse
3- These waves propagates in vacuum
4- The speed of these waves in vacuum is equal to speed of propagation of light
in vacuum
A) 1
B) 2
C) 3
D) 4
E) 3 and 4
71. At a difference of phases equal  , find the length of a wave:
A)  /2
B) 
C) 0
D)  /6
E)  /4
72. What expression defines the speed of distribution of longitudinal elastic
waves in the solid substance (E-is the Yung’s modulus, - is the solid's density)?

A)
B)

  E2

C)
D)
E

E
  E 2

E)
E
2
73. What expression defines the speed of distribution of cross-section waves in
the solid substance (G- is the shear modulus,  - is the solid's density)?

A)

B)

C)
G


G
G2

D)   G
E)
   2G
74. What expression connects amplitudes electric Еm and magnetic Нm vectors in
a plane electromagnetic wave  ,  are the dielectric and magnetic permeability of
the substance,  0 ,  0 - are the electric and magnetic constants)?
A)
Em εε 0 = H m μμ0
Em εε 0 =
B)
Em
C)
εo
Hm
μμ0
= Hm μ
2
D) Em ε = H m μ
E)
Em εε0 = H m2 μμ0
75. What expression defines the Umov-Poynting vector for density of a stream of
electromagnetic energy  ,  -are the dielectric and magnetic permeability of
substance,  0 ,  0 are electric and magnetic constants, E , H -is the electric and a
magnetic field)?


S

[
E
H]
A)
2
B) w = μμ0 H
2
C) S  EH
D)
w = μμ0 EH
2
E) w = εε0 E
76. What expression defines the flux density of electromagnetic radiation (  W -is
the energy of the radiation penetrating in time  t -is the perpendicular to beams a
surface of area S)?
W
A) St
B) WSt
Wt
C) S
SW
D) t
S
E) Wt
77. What expression defines the flux density of electromagnetic radiation of a dot
source (  W-is the radiation transferred on all directions in time  t, R-is the
distance to a source)?
W 1
 2
A) 4t R
W 1

4
B) t R
W 1

2
C) t R
W 2 1

2
D) 4t R
W 1

2
E) 2 R
78. What defines wave number?
A) the number of wavelengths per 2π units of distance
B) the length of a wave
C) the speed of a wave
D) the energy of a wave
E) the frequency of a wave
79. What expression corresponds to density of energy of electromagnetic waves
 ,  are dielectric and magnetic permeability of substance,  0 ,  0 are the electric
and magnetic constants, E , H is the electric and a magnetic field)?
W
 0E 2
W
 0E 2
2
A)
2
B)
W
2
W
 0E
W
 0E
E)

 0E 2
C)
D)

2
2

B2
20 
0 B 2
2
H2
2 0 

0 H

0 B
2
2
80. What expression defines the speed of an electromagnetic wave in dielectric
under Маxwell’s theory (  -is the dielectric permeability, μ-is the magnetic
permeability, c-is the velocity of light in vacuum)?

A)
c



c
B)
C)   c  
c
 

D)
c
E)  = 
81. What expression defines the speed of propagation of an electromagnetic wave
in the substance (  ,  are the dielectric and magnetic permeability of substance,
 0 ,  0 – are the electric and magnetic constants)?

A)

1
 0  0
1
B)
 0 0
C)
   0 0
D)
  

E)
1
 
82. How does the frequency of an electromagnetic wave change at transition from
vacuum on substance (  0 -is a length of wave in vacuum,  - is a length of wave
in substance,  -is speed of a wave in the substance, c- is a velocity of light in
vacuum)?
A) Not to change
c
B) in  time will increase
 time to decrease
C) in
c
D) in  time will increase
c
E) in  time to decrease
83. What property of electromagnetic waves distinguishes them from mechanical
waves?
A) distribution to vacuum
B) an interference
C) returning on the second substance
D) diffraction
E) distribution to the substance
84. Specify the wave equation (  -is the Laplas’ operator,  -is the phase speed)?
 
A)
1  2
 2 t 2
1  2
  2 2
x t
B)

1  2
 2 t 2

 2  2  2


x 2 y 2 z 2
C)
D)
1  2 1  2 1  2
  2 2  2 2  2 2
 x  y  z
E)
85. Specify the Doppler effect for electromagnetic waves in vacuum (  

, c- is
c
the speed of light,  -speed of a light source concerning the receiver,  - is an
angle between a direction of supervision and a direction of speed,  0 -is the
frequency of the wavelengths radiated by a source):
  0
1  2
1   cos 
  0
1  2
1   cos 
A)
B)
2
  0
1   cos 
C)
  0
1 
1   cos 
  0
1 
1   cos 
D)
E)
86. Specify the formula describing the transverse Doppler effect (  

, c- is the
c
speed of light,  -is the speed of a light source concerning the receiver,  0 -is the
frequency of the wavelengths radiated by a source):
A)
  0 1  2
B)
  0 1  2
C)
  0    2
D)    0 1  
E)    0 1  
87. Specify the formula describing longitudinal Doppler effect (  

, c- is the
c
speed of light,  -is the speed of a light source concerning the receiver,  0 - is the
frequency of the wavelengths radiated by a source):
1 
  0
1 
A)
1  2
1 
  0
B)
 2
  0
1 
C)
1 
  0

D)
  0
1 
E)
2
88. What expression defines path distance passed by a beam inside plainly a
parallel plate ( d  is a thickness of a plate, i - is an angle of refraction)?

A)
d
cos i
B)   d  cos i

d2
cos i

cos i
d2

cos i
d
C)
D)
E)
89. What physical magnitude characterizes optical density of medium?
A) index of refraction
B) the wavelength
C) frequency of a wave
D) energy of a wave
E) a photon impulse
90. How many times is the wavelength of light  in the medium less than
wavelength in the vacuum 0 (n –is the index of refraction)?
A) n
B) n2
C) n3
D) n4
E) n5
91. What physical magnitude is defined by expression
1
(  and  2 - are the
2 1
speeds of light in medium I and II respectively)?
A) a relative index of refraction of medium II concerning I
B) an absolute index of refraction of medium I
C) an absolute index of refraction of medium II
D) a relative index of refraction of medium I concerning II
E) the angle of refraction at transition of light from medium I on medium II
92. The critical angle of total reflection is defined by the formula ( n1 , n2 -are the
indices of refraction in the two media):
A)  c  arcsin
n2
n1
B)  c  arcsin
n1
n2
C)  c  arcsin
n2
n1
D)  c  arcsin
n1
n2
n 
E)  c  arcsin  2 
 n1 
2
93. What expression defines optical path length (n – is an index of refraction in
medium, S – is a distance of the ray passing through medium)?
A) L = nS
L
B)
S
n
2
C) L = n S
L=
D)
n
S
2
E) L = nS
94. In what units the radius of curvature of a spherical surface is expressed?
A) m
B) m-1
C) m2
D) m-2
E) 1/m3
95. What expression defines distance from a mirror to the image ( f - is a distance
from a mirror to the image)?
f 
F
F
1
d
f 
F
A)
1
B)
f 
d
1 F
f 
Fd
F d
f 
F2
F
1
d
C)
D)
E)
d
f
96. The formula of a concave mirror looks like ( d  is a distance from an object to
a mirror, f - is a distance from a mirror to the image, R - is a radius of curvature
of a spherical surface):
1 1 2
 
d
f R
A)
1 1
1
 
F
B) d f
1 1 f
 
C) d R 2
1 1
 F
d
f
D)
1 R 1
 
d
2 f
E)
97. What expression defines the formula for a concave mirror if the real image (dis the distance from a subject to a mirror, f-is the distance from a mirror to the
image, F -is the focal length ) turns out?
1 1 1
 
F
d f
A)
1 1 1
 
F
d f
B)
1
1 1
 
d f
C) F

D)
1
1 1
 
F
d f
1 1 1
 
d
F f
E)
98. The subject is between focus of a concave spherical mirror and a pole. Which
statement is true for reception of the image of a subject (F -is a focal length, d -is
the distance from a subject to a mirror, f -is the distance from a mirror to the
image)?
1-The image is real, inverted, increased
2-The image virtual, upright, increased
1 1 1
 
3-The distance to the image is calculated by formula f d F
1 1 1
 
f
F f
4-The distance to the image is calculated by formula
A) 2 and 3
B) 1 and 3
C) 2 and 4
D) 1 and 4
E) Only 1
99. What is the expression defines the formula of a convex spherical mirror (F -is
a focal length, d -is the distance from a subject to a mirror, f -is the distance from
a mirror to the image)?

A)
1 1 1
 
F d f
1 1 1
 
F
d f
B)
1 1 1
 
F
d f
C)
1
1 1
 
d f
D) F

E)
1
1 1
 
F
d f
100. A focus of a diverging lens is called as:
A) a point in which continuations of the refracted beams which have been started up on
a lens of in parallel main optical axis, cross it
B) a point in which beams of a parallel main optical axis cross it after refraction in a lens
C) a point in which the light source is located
D) a point of crossing of the main optical axis with a lens
E) the point in which turns out the source image
101. A back focus of system is called as:
A) a point of crossing of a back focal plane with an optical axis
B) a point in which the beam, falling in parallel main optical axis, crosses a lens
C) a point in which the light source is located
D) a point in which the source image turns out
E) a point of crossing of the main optical axis with a lens
102. Specify unit of magnification of image in a lens:
A) Dimensionless quantity
B) Newton
C) Meter
D) A dioptry
E) Hertz
103. The units of the power of lens are:
A) A dioptry
B) Newton
C) Henry
D) Meter
E) Tesla
104. What’s science of the measurement of light and its sources called?
A) Photometry
B) Ray optics
C) Holography
D) Wave optics
E) Geometrical optics
105. What device measures luminouse intensity?
A) Photometer
B) Metronometer
C) Dynamometer
D) Refractometer
E) Optical path
106. The unit of measure of light energy is:
A) lm·s
B) lm/s
C) lm·s2
D) lm/s3
E) lm·m2
107. What expression defines light energy (Φ –is luminouse intensity, t-is a time)?
A) W  Ф  t
B) W  Ф / t
2
C) W  Ф  t
2
D) W  Ф  t
2
E) W  Ф / t
108. Which unit measures radiosity?
A) W/m2
B) Cd
C) W·s
D) W·m2
E) Dimensionless quantity
109. The magnitude equals to the relation of a radiant flux of a source to a solid
angle in which limits this radiation extends, called:
A) the radiant intensity
B) the radiosity
C) the radiant flux
D) the radiant energy
E) the radiance
110. The unit of measurement of irradiance is:
A) W/m2
B) W/sr
C) J
D) Wb
E) W
111. What expression defines the illuminance (Ф is a luminous flux, S – is
the area of the surface)?
E=
A)
Ф
S
B) E = ФS
2
C) E = Ф S
2
D) E = ФS
E=
E)
S
Ф
112. What expression defines the luminance ( Ф is a luminous flux, I -is the
luminous intensity, S- is the area of the surface)?
B
A)
I
S
B) B  IS
B
C)
Ф
I
D) B  ФS
B
E)
Ф
S
113. A unit of measurement of the luminance is:
A) cd/m2
B) lx
C) lm
D) cd
E) W/m2
114. A unit of measurement of luminous intensity is:
A) Candela (Cd)
B) Lumen (Lm)
C) Lux (Lx)
D) Steradian (Sr)
E) Hertz (Hz)
115. The full luminous flux of radiation from an isotropic source is equal to Ф. The
light proceeding from a source incidents perpendicularly surfaces. The surface is
from a source in a normal direction to distance х. What expression defines
dependence Е from х.
E( x) 
A)

4x 2
4
x2
E( x) 
B)

E( x) 
4x 2
C)
E( x) 

x2
E( x) 

x 2
D)
E)
116. What formula exspreses the luminouse intensity of an isotropic source?
J

4
J 
dE
d
J
4

A)
B)
C)
D) J  4
E) d  Jd
117. What relationship between intensity of a light wave (I) and peak value of
intensity of electric oscillations (Е)?
2
A) I ~ E
B) I ~ E
3
C) I ~ E
D) I ~ E
I~
E)
1
E
118. Find the resultant intensity of a light wave, if two light waves with intensity I1
and I2 meeting in any point of space.
A) I  I1  I 2
B) I  I1  I 2  2 I1I 2
C) I  I1  I 2  2 I1I 2
D) I  I1  I 2
E) I  I1  I 2  2 I1I 2 cos
119. The average module on time of value of density flux of energy a transferable
by light wave is called as:
A) Intensity of light
B) Light dispersions
C) Amplitude of electric voltage
D) Amplitude of a magnetic induction
E) Polarization of a light wave
120. What expression defines the optical path difference at minimum interference
pattern in vacuum ( k- is the order number, 0 - is a wavelength in vacuum,  - is
a path difference)?
1

   k  0
2

A)
 
B)    k  2 0
 
C)    k  2 0
1

    k   0
3

D)
1

    k   0
3

E)
121. What expression defines the path difference at minimum interference pattern
in medium ( 0  is a wavelength in vacuum, k  is order number, n  is an index
of refraction)?
  2k  1
A)
  2k  1
B)
  2k  1
C)
  2 k 
0
  2k 
0 2
D)
E)
0
2n
0
4n
0
2n
n
n
122. Show the unit of measure of the path difference:
A) m
B) rad
C) m2
D) J
E) m/s
123. What expression defines the path difference in Young’s experience at
calculation interference pattern ( d  is a distance between sources, x  is a
distance from the centre of the screen to a considered point, n  is an index of
refraction)?
n
A)
xd

  n2
B)
n
C)
E)
x
d

d
x

1
x
D)
xd
2
124. What expression defines a distance between the next maxima of interference
pattern x in Young’s experience (  - is a distance from a source to the screen, d
- is a distance between sources,   is a wavelength)?
A)
B)
C)
D)
E)
xmax 
xmax 
xmax 
xmax 
xmax 


d

d

d
2
d
2
d
125. What expression defines the path difference  at an interference from a plate
of a variable thickness ( d  is a thickness of a plate, n  is an index of a
refraction, r - is an angle of a refraction,   is a wavelength)?
A)   2 dn cos r 

2
B)   2dncos r  
2
C)   2d n cos r
D)   2 dn2 cos r 

E)   2 d n cos r 
2

2
126. What expression defines the path difference  m for the reflected beam
obtained by Newton’s rings ( d m - is a width of an air backlash,  - is a
wavelength)?
A)
B)
C)
D)
 m  2d m 
m  dm 
m 

2

2

2
 2d m
m  dm 

2
E)  m  d m  
127. What expression defines the path difference  m for a passing light beam
obtained by Newton’s rings ( rm - is a radius of m -th ring)?
rm2
m 
R
A)
B)
m 
rm
R
m 
R
rm
m 
R
rm2
C)
D)
E)  m  rm  R
128. What expression defines a condition of obtaining of m -th dark ring for the
r
reflected beam by Newton’s rings ( m -is a radius of m -th ring of Newton, R -is a
radius of curvature of a lens,   is a wavelength, m  is an order number)?
rm2  
1
   m  
2
A) R 2 
rm2 
1
  m  
2
B) R 
rm 
  m
C) R 2
rm 
  m
D) R 2
rm  
1
   m  
2
E) R 2 
129. What expression defines a condition of obtaining of m  th of a light ring for
the reflected beam by Newton’s rings ( rm  is a radius of m  th ring of Newton,
R  is a radius of curvature of a lens, m  is order number)?
rm2 
  m
A) R 2
rm 
  m
B) R 2
C)
rm 

2
 m
rm2 
  m
D) R 2
E)
rm2 

2
 m
130. Find the resultant intensity waves overlap at given point from coherent
sources at a difference of phases of a light wave equals 2 (intensity of the
overlapped waves is identical I1 = I 2 ).
A) 4I1
B) 2I1
C) 3I1
D) I1
E) 0
131. At overlapping of coherent light waves, there is a redistribution of a light flux
in space therefore in one places there are maxima, and in others -is the intensity
minima. This phenomenon is called as:
A) Interference of waves
B) Diffraction of waves
C) Polarization of waves
D) Full internal reflexion of light
E) Light refraction
132. What graph correctly expresses the dependence of width of bright fringes on
the wavelength in Young’s experiment at observing of an interference of light
(monochromatic light waves)?
Xmax

A)
Xmax

B)
Xmax

C)
Xmax

D)
Xmax

E)
133. Condition of a maximum of an interference (  -is the wavelength of the light,
k-is the order number):
A)
  k0

B)
k
0

C)
0
k
1
   k0
2
D)
1
   ( k  )0
2
E)
134. What expression defines radius of dark rings of Newton (R -is the radius of
curvature of surfaces of a lens,  0 - is the wavelength of the light, m – is the
number of zones)?
A) rk  mR
B) rk 
C)
rk 
mR
2m  1R
2
D) rk  R
E)
rk  mR

2
135. Condition of minimum at interference of coherent waves (  -is the
wavelength of the light, k-is the order number):
1

    k  
2

A)
B)    k
C)    2k  1k
D)   k
1
  ( k  )
2
E)
136. What expression is defined by radiuses of bright and dark rings of Newton (R
radius of curvature of surfaces of a lens,  0 - is the wavelength of the light, m – is
the number of zones)?
A)
r = Rλ0 (m - 1)/2
B)
r = Rλ0 m
C)
r = Rλ0 (m -1)
r=
D)
λ0
(m - 1)
R
r=
E)
R
(m - 1)
λ0
137. The diffraction grating:
A) Allows calculating wavelength of a light
B) Observers polarizes light
C) Measures light flux
D) Measures energy of a photocurrent
E) Gives the subject image
138. What image will turn out in the centre of the viewing screen at diffraction
through a circular aperture with radius r there will be in an aperture with number
of zones equals 3?
A) Brightly, circular
B) Dark, circular
C) Dark, square
D) Brightly, square
E) Dark, an ellipse
139. What image turns out on the viewing screen at diffraction from a circular
apertures with radius r with the account, that number of rings equals 2:
A) dark, circular
B) Brightly, square
C) dark, square
D) Brightly, circular
E) dark, an ellipse
140. In what unit is the period of the diffraction grating expressed?
A) m
B) 1/s
C) s
D) 1/m
E) Dimensionless quantity
141. What image turns out in the centre of the viewing screen at Fresnel
diffraction from opaque circular apertures?
A) Brightly, circular
B) dark, circular
C) dark, square
D) Brightly, square
E) dark, an ellipse
142. What expression defines the number of zones Z at Fraunhofer diffraction
( a  is the width of slit,   is the wavelength,   is the angle of deviations of a
beam from a normal)?
Z 2
a sin 

A)
Z
a sin 

B)
Z 2
C)
Z
sin 
a
a 2 sin 

D)
Z 2
a sin 2 

E)
143. What expression defines a difference of phases  at Fraunhofer diffraction
( a  is the width of slit,   is the wavelength,   is the angle of deviations of a
beam from a normal)?
  2
a sin 

A)

a sin 
B)
 

a 2 sin 

C)
  2
a 2 sin 

D)
 
E)
a sin 2 

d sin 
( d - is the period diffraction
k
grating, k - is a spectrum order,  - is an angle of deviation)?
144. What physical magnitude is equal to
A) Wavelength of light
B) Index of the refraction
C) Number of strokes of a diffraction grating
D) Frequency of light
E) Intensity of light
145. The work principle of the diffraction grating is based on which of the
following phenomenon?
A) diffractions and interferences of light
B) diffractions and dispersions of light
C) diffraction and refraction of light
D) diffraction and polarization of light
E) diffraction and total reflection of light
146. How many minima are located between the basic maxima at diffraction from
three slits?
A) 2
B) 1
C) 3
D) 4
E) 0
147. Which units is the period of the diffraction grating expressed?
A) m
B) 1/s
C) s
D) 1/m
E) Dimensionless quantity
148. What image will be in the centre of the screen at Frenel’s diffraction from an
opaque round slit?
A) bright, round
B) dark, round
C) dark, square
D) bright, square
E) dark, an ellipse
149. Bragg’s formula looks like (d-is the distance between crystalline planes,  -is
the angle between the incident ray and the scattering planes,  -is the
wavelength):
A) 2d sin θ = mλ
B) 2 sin θ = λ
2d sin θ =
C)
m
λ
D) d sin θ = m + 1
d sin θ =
E)
m
λ -1
150. What is the Bragg’s angle?
A) the angle supplementing the angle of incidence on 900
B) the angle of a deviation from a normal of the refracted beam
C) the angle of incidence at angle of refraction equal 450
D) the angle of incidence at angle of refraction equal 900
E) the angle of incidence at angle of reflection perpendicular to the angle of refraction
151. If intensity of light transmitted through the analyzer is I and the angle
between optical axes of the analyzer and a polarizer is  , by what formula
intensity of light incident on the analyzer is defined?
I
2
A) cos 
2
B) I  cos 
C) I  cos 
I
D) cos 
E) I  tg
152. What expression defines Malus’s law (I-is the intensity of light transmitted
through the analyzer, I0 – is intensity of light transmitted through a polarizer,  -is
the angle between optical axes of the analyzer and the polarizer)?
2
A) I = I 0 cos φ
2
B) I = cos φ
2
C) I = I 0 cos φ + 1
2
D) I = cos φ + 1
I=
E)
I0
cos 2 φ
153. If intensity of light incident on analyzer is I, find the intensity of light
transmitted through the analyzer.
A) I 
1
I natur
2
B) I  2 I natur
C) I  I natur
D) I 
1
I natur
4
E) I 
2
1
I natur cos 
2
154. What expression defines degree of polarization Р (Imax and Imin – are the
maximum and the minimum intensity of light)?
P=
A)
I max - I min
I max + I min
P=
I max
I min
P=
I min
1 + I max
P=
1 - I max
I min
P=
I max + I min
I max
B)
C)
D)
E)
155. By what expression it is defined cosine an angle between optical axes of the
analyzer and a polarizer (I-is the intensity of light transmitted through the
analyzer, I0 -is the intensity of light transmitted through a polarizer)?
I
I0
cos  
A)
cos  
I
I0
cos  
I0
I
B)
C)
cos  
I0
I
cos  
I  I0
I0
D)
E)
156. The degree of polarization of natural light is equal to:
A) 0
B) l
C) 1/4
D) 3/4
E) 1/5
157. Which statement is true for extraordinary rays by double refraction of light?
1-these rays do not submit to refraction laws
2-these rays submit to the refraction law
3-speed of these rays depends on the direction of propagation inside the crystal
4-these rays in relation to ordinary rays most strongly absorbed
A) 1 and 3
B) Only 1
C) 2 and 4
D) Only 2
E) Only 3
158. Natural light does not pass through the system consisting from the two
parallel crystals of tourmaline. What is the angle between axes of crystals equal
to?
A) 900
B) 300
C) 400
D) 500
E) 00
159. What expression defines an angle of rotation of the plane of polarization of
substance (  -is the wavelength of light,  - is a rotation constant, l – is a
thickness of substance)?
A)   
B)   
2
C)   
2
D)   
2
E)    
160. What expression defines an angle of rotation of the plane of polarization at
passage of a light beam from substance (  - is the wavelength of the light, [  ] –
is an own constant of rotation, c – is the concentration, l – is a beam path in
substance)?
A)    c
B)    c
2
C)    c
2
D)    c
E)   c
161. At what value, the angle between axes of the two parallel crystals of
tourmaline, intensity of traveling light is maximum?
A) 00
B) 300
C) 400
D) 500
E) 900
162. By which condition is the light appearing in the plane polarized (Imax and Iminare the maximum and the minimum intensity of light, P –is the polarization
degree)?
A) I min  0, P  1
B) I min  0, P  1
C) I min  2, P  1
D) I min  I max , P  0
E) I min  I max , P  0
163. Brewster’s law looks like which of the following formula (  p is the polarizing
angle, n21-is the index of refraction of the second medium concerning of the first
medium)?
A) tg p  n21
B) tg p 
1
n 21
C) tg p 
n2 - n21
n1
D) tg p 
1
n2
E) tg p  n21 - 1
164. In what cases is the dispersion called as "normal"?
A) when the index of refraction decreases with increasing wavelength
B) when wavelength increases with decreasing a speed of a wave
C) when index of refraction increases with increasing wave length
D) when the wavelength increases the index of refraction does not change
E) when the frequency of a wave increases with decreasing the index of refraction
165. The phenomenon caused by dependence the index of refraction on
frequency of light is called:
A) Dispersion
B) Interference
C) Polarization
D) Diffraction
E) Refraction
166. What graph correctly expresses the dependence of the index of refraction on
the wavelength at a normal dispersion?
n

A)
n

B)
n

C)
n

D)
n
E)

167. Absorption of light by medium depends on which of the following:
A) the wavelength
B) the energy
C) a deviation angle
D) differences of phases
E) numbers of zones
168. The flux density of electromagnetic radiation is directly proportional:
A) the fourth degree of frequency
B) to a square of distance from a source
C) frequency of oscillations
D) to a square of frequency of oscillations
E) to distance from a source
169. Stefan-Boltszmann law looks like which of the following formula (Re - is the
irradiance , T-is the temperature,  - is the constant Stefan-Boltszmann) ?
4
A) Re = σT
B)
Re =
σ
T4
3
C) Re = σT
2
D) Re = σT
E) Re = σT
170. What expression defines the Wien’s displacement law (  max – is the
wavelength, T – is the absolute temperature, b – is the Wien’s constant)?
A)
λmax =
b
T
2
B) λmax = bT
C) λmax = bT
D)
λmax =
b
T2
4
E) λmax = bT
171. Show a unit of measurement of constant Stefan-Boltszmann is the following:
A)
W
m2K 4
B)
W
m2
C)
J
m K4
D)
J
m K4
E)
J
sK4
3
2
172. Specify the condition for «absolutely blackbody» from the following:
A) А=1
B) А1
C) А1
D) А1
E) А=0
173. A unit measurement the radiant emittance is:
A) W/m2
B) W
C) J/m2
D) J
E) J/kg
174. The principle of action of a photo cell is based on the phenomenon
A) of a photoeffect
B) of a chemical action of light
C) of a thermal movement of electrons
D) of a thermionic issue
E) of a photoluminescence
175. What formula defines the maximum value of a photocurrent (n- are number of
electrons emitted from the cathode for 1 second, e - is a charge of electron)?
A) I max  en
B) I max  e
n
2
C) I max  2en
D) I max  e 2 n
E) I max  en 2
176. What definition is true?
A) Each quantum is absorbed only by one electron
B) Each quantum absorbs only two electrons
C) The quantum is not absorbed by any electron
D) Each quantum is absorbed only by one proton
E) The quantum emittes protons
177. How is the stopping potential defined at a photoeffect ( e-is an charge of
electron,  -is the speed of photoelectrons)?
2
mmax
U0 
2e
A)
B) U 0  h
C) U t  e
D)
E)
m 2m
Ut 
2
U 0  h 
m 2
2
m
178. Einstein's equation for an external photoeffect looks like which of the
following (A – is the work function, h – is the Planck's constant,  - is the speed
of photoelectrons,  -is the frequency of light):
m 2
h  A 
2
A)
B) E  h
2
C) h  mc
D)
h min 
m 2
-A
2
h  A E)
m 2
2
179. What formula expresses the change of an impulse of a photon at reflection
from a body surface ( -is the frequency, h-is the Planck’s constant, c-is the
velocity of light in vacuum)?
k  2
A)
k 
h
c
k 
c
h
k 
hc
B)
C)
D)
h
c

k  2
E)
hc

180. Which graph represents the dependence of an impulse of photons on its
frequency?
P
A)

P

B)
P

C)
P

D)
P

E)
181. What expression defines an impulse of a photon with wavelength  (h –is the
Planck’s constant)?
h
A) λ
λ
B) h
C) λh
λ2
D) h
h2
E) λ
182. The mass of a photon is defined by which of the following expression ( -is
the frequency of a photon, h - is the Planck’s constant, c-is a velocity of light in
vacuum):
h
2
A) c
h
B) c
hc
C) 
D) hc
hc 2
E) 
mc2 m
183. What physical magnitude is defined by expression
( -is the mass of a
h
photon, c - is a velocity of light, h -is the Planck’s constant)?
A) the frequency of a photon
B) a photon impulse
C) the wavelength of a photon
D) the number of photons
E) an index of the refraction
hc
( e - is a charge of
eU
electron, h - is the Planck’s constant, c - is a velocity of light in vacuum, U - is the
voltage between the anode and the cathode in a x-ray tube)?
184. What physical magnitude is defined by expression
A) the wavelength of x-ray radiation
B) the frequency of x-ray radiation
C) the capacity of a x-ray tube
D) a current in a x-ray tube
E) Energy of x-ray radiation
185. Specify the cutoff wavelength (A-is the work function, h- is the Planck’s
constant, c-is a velocity of light in vacuum):
A) c 
hc
A
B) c  hA
C) c 
hA
c
D) c 
hc 2
A
E) c 
h 2c
A
186. What expression defines the density of energy W at pressure of light ( n  is
the number of photons falling on an individual surface in a unit of time, h  is the
Planck's constant,   frequency of a photon, c  is the speed of light in
vacuum)?
W
nh
c
W
nh
c
W
nh 2
c
W
n 2 h 2
c
W
n 2 h 2
c2
A)
B)
C)
D)
E)
187. Non-contacting device that intercepts and measures thermal radiation in an
optical range of a spectrum is called:
A) Pyrometers
B) Thermometers
C) Spectrometers
D) Interferometer
E) Photo measures
188. Kirchoff’s Law represents by:
A) the rates of absorption and emission of radiant energy are identical
B) the emission of radiant energy of body increases with temperature increase
C) the rates of absorption and emission of radiant energy are various and are
temperature functions
D) the rates of absorption and emission of radiant energy are various and depend on
their color
E) the radiant emittance of body depends on the form of their surface
189. Planck's hypothesis says:
A) the atoms let out electromagnetic energy in the separate portions
B) the nuclear system can be only in special stationary states
C) the energy of the radiated photon is equal to a difference stationary states
D) the maximum kinetic energy of photoelectrons does not depend on intensity of light
E) in a stationary states the atom does not radiate
190. Planck's constant is expressed by which unit?
A) J·s
B) W
C) J/m3
D) s
E) 1/s
191. Kinetic energy for electrons ejected from the surface of metal at a photoeffect
depends on which of the following:
A) only on frequency of light
B) only on intensity of light
C) on frequency and intensity of light
D) on temperature of metal and intensity of light
E) only on metal temperature
192. Formula for Rutherford scattering  -particles looks like is express as one of
dN
following (  -is the flux of particles scattering within angle from  to   d ,
N
N is a full flux of particles in a bunch, a -is a thickness of a foil, n -number of
atoms in volume unit):
2
 Ze 2 
dN
d

 na
2 
4
N
 m  sin ( / 2)
A)
dN 
Z
 na
m  2
B) N
dN
d

4
sin ( / 2)
C) N
dN
d
 na 4
sin ( / 2)
D) N
dN
Z
d

2
4
m sin ( / 2)
E) N
193. What voltage equals to the second maximum from dependence of a current
of the anode on voltage between the cathode and a mesh grid, from Franck and
Hertz experiences at filling of an ampoule with mercury steams in vacuum?
A) 9,8
B) 5,4
C) 14,7
D) 19,6
E) 39,2
194. What voltage equals to the first maximum from dependence of a current of
the anode on voltage between the cathode and a mesh grid, from Franck and
Hertz experiences at filling of an ampoule with mercury steams in vacuum?
A) 4,9
B) 9,8
C) 5,4
D) 19,6
E) 39,2
195. What voltage equals of the third maximum from dependence of a current of
the anode on voltage between the cathode and a mesh grid, from Franck and
Hertz experiences at filling of an ampoule with mercury steams in vacuum?
A) 14,7
B) 9,8
C) 5,4
D) 19,6
E) 39,2
196. What is the radius of the first orbit of hydrogen atom equal to?
0
A) 0, 529 A
0
B) 529 A
0
C) 5,29 A
D) 10-10 m
0
E) 50 A
197. Specify Rydberg constant:
A) R =2,07·1016s-1
B) R=2,07·10-16s-1
C) R =2,07·102s-1
D) R =0,7·1016s-1
E) R =2,7·10-19s-1
198. The frequency of Brackett series observed in a spectrum atom of hydrogen
(R-is the Rydberg constant, n- is the integer) is defined one of the following:
1 
 1
 2
2
n 
4
  R
A)
1 
 1
 2
2
n 
2
  R
B)
1 
 1
 2
2
n 
3
  R
C)
1 
1
 2
2
n 
1
  R
D)
1 
 1
 2
2
n 
5
  R
E)
199. The frequency of Lyman series observed in a spectrum atom of hydrogen (Ris the Rydberg constant, n- is the integer) is defined one of the following:
1 1 
- 2
2
1 n 
  R
A)
 1 1 
- 2
2
2 n 
  R
B)
1 1 
- 2
2
3 n 
  R
C)
 1 1 
- 2
2
4 n 
  R
D)
1 1 
- 2
2
5 n 
  R
E)
200. The frequency of Paschen series observed in a spectrum atom of hydrogen
(R-is the Rydberg constant, n- is the integer) is defined one of the following:
1 
 1
 2
2
n 
3
  R
A)
1 
 1
 2
2
n 
2
  R
B)
1 
1
 2
2
n 
1
  R
C)
1 
 1
 2
2
n 
4
  R
D)
1 
 1
 2
2
n 
5
  R
E)
201. What formula presents the frequency of all lines of a spectrum of hydrogen
atom (R- is the Rydberg constant, n- is the integer)?
 1 1 
- 2
2
m n 
  R
A)
 
B)
R
m - n2
2
2
C)   R / m
 
D)
R
m2n2
m2 - n2

R
E)
202. Mathematical expression of III postulate of the Bohr is one of the following:
A) mrn  n ;
B) m  n ;
C) mrn  nh ;
D) mrn 

;
n
E) mrn 
n

203. What expression defines the frequency of a microparticle with the mass m,
the impulse P, the energy E?
A)  
E
h
B)  
E
p
C)  
E
m
D)  
p
m
E)  
E
pm
204. What expression defines wavelength of a de-Broglie (E is the energy, p is an
impulse, m is the mass,  - is the speed of a microparticle, h – is the Planck's
constant)?

h
p

E
p

m
p

p
m

E
A)
B)
C)
D)
E)

205. What expression defines wavelength of a de-Broglie (E is the energy, p is an
impulse, m is the mass,  - is the speed of a microparticle, h – is the Planck's
constant)?

h
m

E
p

m
p

h
p

E
A)
B)
C)
D)
E)

206. What expression defines kinetic energy of a particle in the quantum
mechanics (h – is the Planck's constant, m –is the mass of a particle,  - is the
wavelength of a particle)
h2
2
A) 2m
h2
B) 2m
h
2
C) 2m
h
D) 2m
2m2
E) h
207. What expression defines total energy of a free particle in the quantum
mechanics (h – is the Planck's constant, m –is the mass of a particle, k – is the
quantum number,  - is the Pythagoras number)?
E
h2k 2
8 2 m
E
h2k
8 2 m
A)
B)
2k 2
E
8 2 m
C)
E
2k
8 2 m
E
8 2 m
h2k 2
D)
E)
208. What expression defines phase velocity of de-Broglie waves (h and  - are
the Planck's constant, m – is the mass of a particle,  - is the wavelength of a
particle, m- is the wave number)?
h
A) 2m

B) 2m
h
2
C) 2m
h
D) 2mk
h
E) 2m
2
209. What expression defines Schrödinger equation for a microparticle moving in
the field of potential forces (m – is the mass of a microparticle, U (x, y, z, t) – is
the potential energy function, i –is the imaginary unit,  - is the Laplace operator,
 - is the wave function,  - is the Planck's constant)?
2 2


   U  i
t
A) 2m
2 2

   U  i
t
B) 2m
2 2


   U  i
t
C) 2m

2 2

   U  i
2m
t

2

  U  i
2m
t
D)
E)
210. What expression defines Schrödinger equation for a stationary state (U –is
the potential energy a particle, E – is total energy of a particle, m – is the mass of
a particle,  - is the Laplace operator,  - is the Planck's constant)?

A)
2 2
   U  E
2m
2 2
   U  E
B) 2m

2 2
   U  E
2m

2
 U   E
2m
C)
D)
2

 (U  E )  0
E) 2m
211. What expression defines Schrödinger equation for a stationary state (U –is
the potential energy of a particle, E – is total energy of a particle, m – is the mass
of a particle,  - is the Laplace operator,  - is the Planck's constant)?
2 
2m
( E  U )  0
2
2 
2m
( E  U )  0
2
2 
2m
(U  E )  0
2
A)
B)
C)
2 
2
( E  U )  0
2m
2 
2
( E  U )  0
2
D)
E)
212. What expression defines the electron equation of motion, moving in infinitely
deep one-dimensional potential "hole", limited to walls x=0 and x=  (  - is a
Planck's constant, E – is a full energy of a particle, U – is a potential energy of a
particle, m – is a mass of a particle,  - is a wave function)?
d 2  2m
 2 E  0
2

A) dx
d 2  2m
 2 E  0
2

B) dx
d 2  2m

E  0
2

C) dx
d 2  2m
 2 U  0
2

D) dx
d 2
1

E  0
2
2m 2
E) dx

213. What expression defines Schrödinger equation for a stationary state ( H - is
the operator of energy, U – is the potential energy of a particle, E – is total energy
of a particle,  - is an amplitude of wave function,  -is the Planck's constant)?

A) H   E

B) H    E

C) H  E 

D) H   E 

E)   U 
214. What expression defines a condition of normalization of wave function  in
the quantum mechanics?
A)
  dV  1
B)
  dV  1
C)
  dp  1
D)
  dE  1
*
*
*
*
  dV  1
*
E)
215. What expression defines possible probability density of a particle in the
given point of space (  -is the wave function, E – is the total energy of a particle,
U – is the potential energy a particle)?
A)
B)
C)

E
U
2
2
2

D) t
2

E) x
2
216. What expression defines Schrödinger equation for a free particle moving on
axis х, (U –is the potential energy of a particle, E – is the total energy of a particle,
m – is the mass of a particle,  - is the Planck's constant,  - is the Laplace
operator)?
d 2  2m
 2 E  0
2

A) dx
d 2  2m
 2 E  0
2

B) dx
d 2  2m
 2 ( E  U )  0
2

C) dx
d 2  2m
 2 ( E  U )  0
2

D) dx
d 2

 i
2
t
E) dx
217. What expression defines energy of a particle of mass m, with a quantum
state n, moving in a potential hole with a width  (h and  - are Planck's
constant)?
A)
B)
C)
En 
En 
En 
 2 2
2m 2
 2 2
m
2
 2
2m
2
 n2
 n2
 n2
D)
E)
En 
En 
h 2
2m
 2h2
2m
 n2
2
2
 n2
218. How the quantum number, defining level of energy of electron in atom is
called?
A) The principal quantum number
B) Azimuthal quantum number
C) Magnetic quantum number
D) Spin quantum number
E) Auxiliary quantum number
219. The state of electron, characterized by quantum number  =0 is designated
as:
A) s
B) p
C) d
D) f
E) h
220. What value can accept change of orbital quantum number during radiation of
atom of hydrogen?
A) m  0,1
B) m  0,2
C) m  1,2
D) m  2,3
E) m  2
221. What values can accept the magnetic quantum number defining choice rules,
for transitions of energy during radiation of atom of hydrogen?
A)   1
B)   0
C)   2
D)   3
E)   4
222. What particle submits to statistics Fermi - Dirac?
A) the electron
B) a photon
C)  -meson

D) k - meson
0
E)  - meson
223. What particle submits to statistics Boze - Einstein?
A) a photon
B) an electron
C) a proton
D) neutrino of electron
E) neutrino of muon
224. What expression defines concentration of electrons in a conduction band of
semiconductors (Еf –is the energy of Fermi level, Е2 – is the energy of a bottom of
a conduction band , E1 – is the the energy corresponding to the top border of a
valence band, k – is the Boltzmann’s constant, Т –is the absolute temperature, А1
– is a constant)?
  ( E2  E F ) 
ne  A1  exp 

kT


A)
 ( E  EF ) 
ne  A1  exp  2

kT


B)
 E  EF 
ne  A1  exp  2

 kT 
C)
  ( E1  E F ) 
ne  A1  exp 

kT


D)
 E  EF 
ne  A1  exp  1

 kT 
E)
225. What expression defines concentration of holes in a valence band of
semiconductors?
 E  EF 
n p  A2  exp  1

 kT 
A)
  ( E1  E F ) 
n p  A2  exp 

kT


B)
 E  EF 
n p  A2  exp  2

 kT 
C)
 (E  EF ) 
n p  A2  exp  2

kT


D)
  ( E2  E F ) 
n p  A2  exp 

kT


E)
226. What formula expresses the own conductivity of an intrinsic conductor (  0 is a constant, E - is the width of the energy gap, k - is the Boltzmann’s constant,
Т – is the absolute temperature)?
A)
B)
   0 exp(
 E
)
kT
   0 exp(
E
)
kT
E 2
   0 exp(
)
kT
C)
D)
E)
   0 exp(
 E 2
)
kT
   0 exp(
kT
)
E
227. What particles are charge carriers in intrinsic semiconductor?
1-protons
2-electrons
3-holes
4-ions
5-atoms
A) 2 and 3
B) 4 and 5
C) 1,2,3
D) 1 and 2
E) 1,2,3,4,5
228. What particles are the basic carriers of a charge in the n-type
semiconductor?
1-protons
2- electrons
3-holes
4-ions
A) only 2
B) only 1
C) 3
D) 2 and 3
E) 1,2,3,4
229. What particles are the basic carriers of a charge in the p-type
semiconductor?
1 Protons
2- electrons
3-holes
4-ions
A) only 3
B) only 2
C) only 1
D) 2 and 3
E) 1,2,3,4
230. What formula exspresses the energy gap, if Е1 is the energy the top border of
the valence band and Е2 is the energy the bottom of a conduction band?
A) E  E2  E1
B) E  E2  E1
E 
E2  E1
2
E 
E2  E1
2
C)
D)
E) E  E1  E2
231. What expression defines frequency of the absorbed radiation if the atom has
passed from one energy state in another (n>m)?
En - Em
h
A)
Em
B) E n
En + Em
h
C)
En
D) E m
E)
E n - Em
232. What expression defines the binding energy of the nucleus (A – is the mass
number of the nucleus, Z – is the atomic number, mp – is the mass of protons, mnis the mass of neutrons, mnuc – is the mass of nucleus, c-is a velocity of light)?


A) Eb  с 2  Zm p  ( A - Z )mn - m nuc 
B) Eb  ( Nm p  Zmn - m nuc )с 2
C) Eb  ( Nmn - m nuc )с 2
D) Eb  ( A - Z )mn c 2
E) Eb  ( Zm p - m nuc )с 2
233. Under what formula mass defect is defined (мp-is the mass of a proton, mn-is
the mass of a neutron, Mnuc – is the mass of nucleus, Z-is the number of protons,
N-is the number of neutrons)?
A) м = (Zмp +Nмn) – Мnuc
B) м = (Z +N) мp - Мnuc
C) м = N (мp +мn) - Мnuc
D) м = (Z+N) -(мp+мn) - Мnuc
E) м = Мnuc - Ма
234. The binding energy per one nucleon is called as:
A) the specific binding energy
B) the activation energy
C) the mass defect
D) the thermonuclear energy
E) the chemical energy
235. The law of radioactive transformation looks like one of the following (  -is the
decay constant, N 0 -is the number of undecayed radioactive nuclei at t=0, N - is
the number of undecayed radioactive nuclei at some instant):
- λt
A) N = N e
B) N  N0
 /t
λt
C) N = N e
2 λt
D) N = N e
N=
E)

N
236. What is -beams?
A) a flux of electrons
B) a flux of nuclei of helium
C) a flux -quanta
D) a flux of neutrons
E) a flux of protons
237. Specify mathematical expression the decay rate A ( N -is the number of the
decay of nucleus, t - is the decay time,  - is the decay constant):
A
N
t
A
N 2
t
A
t
N
A
N
t
A)
B)
C)
D)
A
E)
 2N
t
238. What is the unit of radioactivity?
A) Becquerel
B) Volt
C) Steradian
D) Hit
E) Dimensionless quantity
239. Specify mass of a proton:
A) 938МeV
B) 939 МeV
C) 0, 511 МeV
D) 9,38 МeV
E) 9,39 МeV
240. What of formulas is true for a half-life (  -is the decay constant)?
T
A)
ln 2

B) T    ln 2
C) T   ln 2
T
D)

ln 2
E) T    ln 2
241. Specify the formula describing the radius of nucleus (A – is the mass
number):
A)
R  R0 A1 / 3
B)
R  R0 A1 / 2
C)
R  R0 A
D)
R  R02 A
1/ 3
E) R  A
242. The half-life is:
A) a time interval during which on the average the number of undecayed up nuclei
decreases in two
B) a time interval during which on the average the number of undecayed up nuclei
decreases in three
C) a time interval during which on the average the number of undecayed up nuclei
increases in three
D) a time during which on the average the number of undecayed up nucleus increases
in two
E) a time during which on the average number of undecayed up nucleus is constant
243. Unit, what physical magnitude expression
МeV
is?
nuclone
A) the specific energy of binding
B) the density
C) energy of binding
D) a specific charge
E) the frequencies
244. How does the mass of a nucleus at - decay change?
A) Decreases for four atomic mass units
B) Increases by four atomic mass units
C) Does not change
D) Decreases on two atomic mass units
E) Increases on two atomic units
245. Nuclear time shows which of the following:
A) the time spent for displacement of a particle on distance equal diameter of a nuclei
B) the time in during which the nuclei is in the raised state
C) the time of radioactive decay of a nuclei
D) the time, transition of a nuclei from the basic state in the raised
E) the time demanded for transformation a proton in a neutron and a positron
246. A unit of measurement of effective section in nuclear processesis one of the
following:
A) Barn
B) Fermi
C) Bohr
D) Curie
E) Einstein
247. The wave arising on a surface of water propagates with a speed is equal 6
m/s. Define the period if the wavelength is equal 3 m .
A) 0,5 s
B) 0,2s
C) 0,3 s
D) 0,4 s
E) 0,1 s
248. At oscillatory movement of a material point with amplitude of 2 m to define
distance from equilibrium position at the period equal 1\4.
A) 2 m
B) 4 m
C) 3 m
D) 5 m
E) 1 m
249. The amplitude of oscillations of 10 cm and frequency 10Hz. Find amplitude
value of speed (  =3,14).
A) 6,28 m/s
B) 6,25 m/s
C) 6,26 m/s
D) 6,27 m/s
E) 6,24m/s
250. The wavelength arising on a surface of water 3m, the period 0,5 s. Find the
speed of propagation of a wave.
A) 6 m/s
B) 7 m/s
C) 5 m/s
D) 8 m/s
E) 9 m/s
251. The amplitude А=0,1m, period Т=4 s and an initial phase of oscillations is
 =0. Write the equation of harmonious oscillatory movement.

A) х=0,1sin 2

B) х=4sin
2
t
t

C) х=0,4
sin 2
2
t


 t 

D) х=0,1 sin  4


 

E) х=А sin  2
252. The maximum speed and acceleration of freely oscillating point are 2
24
m
and
s
m
accordingly. Define the oscillation period (   3 ).
s2
A) 0,5 s
B) 0,3s
C) 0,4 s
D) 0,2 s
E) 0,6 s
253. The period of oscillations of a mathematical pendulum at length 1m is equal 1
s. What period will the mathematical pendulum have at length 0,25 m?
A) 0,5 s
B) 0,3s
C) 0,4 s
D) 0,2 s
E) 0,6 s
254. The mass of object suspended to a spring is 0,3 kg .Object makes five
oscillations during 2 s. Define rigidity of a spring. The mass of spring to neglect
(  2=10).
A) 75N/m
B) 80N/m
C) 30N/m
D) 100N/m
E) 25N/m
255. The pendulum in length of 0,25 m makes 120 oscillations during 120 s. Fine
the free falling acceleration (  2=10).
A) 10 m/s2
B) 13 m/s2
C) 8 m/s2
D) 9 m/s2
E) 9,8 m/s2
256. Find the angle of reflection if the angle of incident and an angle between a
incident ray and a surface are equal each other.
A) 450
B) 750
C) 600
D) 900
E) 300
257. Frequency of a light wave is equal 4  1014 Hz . What is the wavelength
correspond to this frequency?
A) 0,75 m
B) 9,35 nm
C) 25 m
D) 0,95 m
E) 0 m
258. At transition of light from vacuum on medium the angle of incident is equal
60o, an angle of refraction is 30 o. Find an absolute index of refraction in the
1
3
3
1
medium ( sin 30 o  ; cos 30 o 
; sin 60 o 
; cos 60 o  ).
2
2
2
2
A)
3
3 3
B) 2
C) 3 3
D) 2 3
2 3
E) 3
259. The wavelength of a monochromatic light in vacuum of 585 nanometers. Find
the wavelength of this light in water (the index of refraction in water n=1,3).
A) 450 nm
B) 760,5 nm
C) 585 nm
D) 58,5 nm
E) 310,5 nm
260. The wavelength for green light in vacuum is 540 nm, speed of its propagation
in glass 2108m/s. Find the wavelength of light in glass (c=3108m/s).
A) 0,36 µm
B) 0,54 µm
C) 0,50 µm
D) 0,60 µm
E) 0,30 µm
261. The wavelength of a monochromatic light in water is 450 nm. Find the
wavelength of this light in vacuum (the index of refraction in water n=1,3)?
A) 585nm
B) 450 nm
C) 346 nm
D) 239 nm
E) 235 nm
262. An index of refraction in glass n=1,52. Find a critical angle of total internal
reflection (sin  ) on a boundary of glass-water (an index of refraction in water
n=1,33).
A) 0,88
B) 0,1
C) 0,25
D) 0,99
E) 1
263. The ray of light incidents on glass with an index of refraction 1,7. Define a
tangent of an angle of incident if an angle between reflected and refracted by rays
makes 900.
A) 1,7
B) 1
C) 0
D) 0,85
E) 3,4
264. Find the distance from an object to the image being on distance 1,5F from a
flat spherical mirror.
A) 3F
B) 2F
C) F
D) 4F
E) 5F
265. At what distance the object from a convex spherical mirror, that the distance
from the image to a mirror was 1,5 times less than that distance at which there is
a object from a mirror has to settle down. Radius of curvature of a mirror is
1,6сm.
A) 0,4 m
B) 0,8 m
C) 0,6 m
D) 0,2 m
E) 0,5 m
266. The radius of curvature of a concave mirror 80 cm. What distance the object
from a mirror located if its real image was in 2 times of more sizes of the object?
A) 60 cm
B) 80 cm
C) 40 cm
D) 20 cm
E) 50 cm
267. The concave mirror gives the inverted image of a object increased in 3 times.
The distance from a object to the image 28 cm. Find the focal length of a mirror.
A) 10,5 cm
B) 21 cm
C) 14 cm
D) 42 cm
E) 14,5 cm
268. The concave mirror gives the inverted image of a object increased in 2 times.
Distance from a object to the image 15 см. Find the image distance.
A) 15 cm
B) 10 cm
C) 30 cm
D) 7,5 cm
E) 20 cm
269. How many times is the distance from a converging lens to the image more
than focal length at lateral magnitification equal 0,5?
A) 1,5
B) 2,5
C) 3
D) 2
E) 3,5
270. Find the focal length of a spherical mirror with radius of curvature of 10 m.
A) 5 m
B) 2 m
C) 3 m
D) 4 m
E) 1 m
271. The object located on 12 cm from the converging lens changes the position
to 4 cm towards a lens on the main optical axis. Find the displacement of the
image of a lens if the focal length of a lens is equal 4cm.
A) 2 cm
B) 1 cm
C) 0 cm
D) 4 cm
E) 3 cm
272. Find a sine of an angle of a deviation of light rays (   600m ) in the
spectrum of the first order received with the help diffraction grating if the period
is equal 1, 2 mm.
A) 0,5
B) 0,2
C) 0,4
D) 0,1
E) 0,3
273. Find the luminous flux falling on a surface the area of 10 cm2 located on
distance equals 2 m from a power source with luminous intensity 200 Cd.
A) 0,05 lm
B) 50 lm
C) 0,1 lm
D) 500 lm
E) 0,25 lm
274. The light source gives a total luminous flux 251,2 lm. What is the luminous
intensity of a source (  =3,14)?
A) 20 Cd
B) 50 Cd
C) 30 Cd
D) 40 Cd
E) 10 Cd
275. What iluminance gives the electric lamp on distance 2 m if the luminous
intensity equals 200 Cd and rays incident perpendicularly surfaces?
A) 50 lx
B) 60 lx
C) 100 lx
D) 10 lx
E) 500 lx
276. In the given point of space two coherent waves with wavelength of 20  are
reaching. If amplitude of each wave A, find the result amplitude in the given point
(  -is a wavelength).
A) 2A
B) 7A
C) 5A
D) 10A
E) 0
277. Find the greatest structure of maxima of the received spectrum from
diffraction grating in which 1000 strokes are the share of 1 mm ( the wavelength
of light incidents on a diffraction grating is 0,20 m ).
A) 5
B) 4
C) 3
D) 6
E) 7
278. Find the greatest structure of maxima of the received spectrum from
diffraction grating in which 1000 strokes are the share of 1 mm (the wavelength of
light incidents on a diffraction grating is 0,25 m ).
A) 4
B) 3
C) 5
D) 6
E) 7
279. Find the wavelength of the maximum displacement of light at dispersion of
protons (h=6,63×10-34J·s, mp=1,67×10-27 kg, e=1,6×10-19C).
A) 2,65  10 15 m
B) 5,30  10 15 m
C) 1,33  10 15 m
D) 8,63  10 26 m
E) 4,41  10 26 m
280. How to change degree of optical anisotropy at deformation of an isotropic
body of the cubic form if the mechanical voltage to increase in 2 times?
A) in 2 times will increase
B) in 2 times will decrease
C) will not change
D) in 4 times will increase
E) in 4 times will decrease
281. What wavelength it is the necessery a maximum of spectral density of power
luminosity of absolutely black body having temperature, equal to temperature of
a human body (Т=310К, where the Wien constant is equal b=2,9·10-3m·К)?
A) 9,35 m
B) 9,35 nm
C) 25 m
D) 0,95m
E) 0m
282. How will change the radiation flux of total black-body at increase in its
temperature in 2 times?
A) in 16 times increases
B) in 2 times increases
C) does not change
D) in 4 times increases
E) in 2 times decreases
283. How will change the radiation flux of total black-body at reduction of its
temperature in 2 times?
A) in 16 times decreases
B) in 2 times increases
C) does not change
D) in 4 times increases
E) in 2 times decreases
284. The black ball cools down from temperature Т1=300К to Т2=250К. How will
changes of the wavelengths  corresponding to the maximum of surface
density of radiation flux (Wien constant is equal b=3·10-3m·К)?
A) 2 m
B) 3 m
C) 4 m
D) 5 m
E) 6 m
285. At heating of absolutely black body, the wavelength which to have a
maximum of surface density of radiation flux, has changed from 600 to 500nm. In
how many times has increased thus radiation flux of a body?
A) 2,07
B) 2,5
C) 5,4
D) 0,7
E) 1
286. How will the frequency corresponding to a maximum of spectral radiation
change, at reduction of a body temperature by 20 %?
A) will decrease in 1,25 times
B) will increase in 1,2 times
C) not to change
D) will increase in 1,25 times
E) will decrease in 1,2 times
287. How will the frequency of a spectrum of radiation change corresponding to a
maximum at increase in a body temperature at 20 % ?
A) will increase in 1,2 times
B) will decrease in 1,25 times
C) will not change
D) will increase in 1,25 times
E) will decrease in 1,2 times
288. Power of radiation of absolutely firm body N=34kW. Find the temperature Т of
this body if it is known, that its surface S=0,6m2 (  =5,67·10-8W/m2·К4).
A) 1000К
B) 2000К
C) 300К
D) 100К
E) 500К
289. The wavelength for caesium corresponding to red border of a photoeffect is
equal 700 nm. Find the work function of the electron
( h  4,2  10 15 eV  s , c  3  10 8 m / s ).
A) 1,8 eV
B) 9,8 eV
C) 0,6 eV
D) 0,7 eV
E) 0,42 eV
290. Cutoff wavelength of a photoeffect for calium is 0,6 µm. Find work function of
electron (h=6,6·10-34 J ·s, c=3·108 m/s).
A) 3,3·10-19 J
B) 2·10-19 J
C) 3·10-19 J
D) 3,5·10-19 J
E) 4·10-19 J
291. The work fuction of electron in nickel is equal 8,8·10-19 J. Find wave length to
corresponding cutoff wavelength of a photoeffect (h=6,6·10-34 J ·s, c=3·108 m/s).
A) 0,225 µm
B) 0,2 µm
C) 0,8 µm
D) 5 µm
E) 25 µm
292. From the Bohr theory it is known, that speed of electron in the first stationary
orbit of hydrogen atom is equal =2,2106 m/s. Find the speed of electron in the
fourth orbit.
A) 0,55106 m/s
B) 0,1375106 m/s
C) 1,1106 m/s
D) 0,5106 m/s
E) 2,2106 m/s
293. From the Bohr theory it is known, that speed of electron in the first stationary
orbit of hydrogen atom is equal =2,2106 m/s. Find the speed of electron in the
second orbit.
A) 1,1106 m/s
B) 0,1375106 m/s
C) 0,55106 m/s
D) 0,5106 m/s
E) 2,2106 m/s
294. From the Bohr theory it is known, that the radius of electron in the first orbit
of hydrogen atom is equal 0,510-8 cm. Find the radius of the fourth orbit of
electron.
A) 810-8 сm
B) 210-8 сm
C) 410-8 сm
D) 110-8 сm
E) 0,12510-8 сm
295. From the Bohr theory it is known, that the radius of electron in the first orbit
of hydrogen atom is equal 0,510-8 сm. Find the radius of the second orbit of
electron.
A) 210-8 сm
B) 810-8 сm
C) 410-8 сm
D) 110-8 сm
E) 0,12510-8 сm
296. Electron moves with a speed 108 cm/s. Find the wavelength. Relativistic
effects not to consider (h=6,63×10-34J·s, me=9,1×10-31kg).
A) 0,73 nm
B) 0,37 nm
C) 1,46 nm
D) 0,36 nm
E) 2,92 nm
297. Find the wavelength of a sphere with mass equals 1g, moving with a speed
1cm/s. (h=6,63×10-34J·s).
A) 6,63  10 29 m
B) 6,63  10 34 m
C) 3,81  10 29 m
D) 6,63  10 31 m
E) 1,33  10 28 m
298. At transition of electron from one stationary orbit on another there was a
radiation of a photon of ligh with frequency 4,571014Hz. To define on what size
energy of electron in atom at the expense of this radiation (h=6,6310-34Js) has
changed.
A) 3,0210-19J
B) 30,210-19J
C) 5,0210-19J
D) 50,210-19J
E) 4,021019J
299. Find the energy of a photon if the mass of a photon is equal to mass electron
at rest (me=9.1×10-31kg, с=3×108 m/s).
A) 8,19  10 14 J
B) 9,1  10 31 J
C) 9,1  10 14 J
D) 2,73  10 22 J
E) 4,09  10 14 J
300. Find the de Broglie wavelength for electron passing potential difference
equals U=1В (h=6,63×10-34J·s, me=9,1×10-31kg, e=1,6×10-19C).
A) 1,23 nm
B) 1,60 nm
C) 9,10 nm
D) 1,80 nm
E) 0,38 nm
301. Find the de Broglie wavelength for electron passing potential difference
U=1000 V (h=6,63×10-34J·s, me=9,1×10-31kg, e=1,6×10-19C).
A) 3,88  10 11 m
B) 7,78  10 11 m
C) 1,94  10 11 m
D) 9,1  10 11 m
E) 1,6  10 11 m
302. Find the de Broglie wavelength for a proton passing potential difference
U=1000 V(h=6,63×10-34J·s, mp=1,67×10-27 kg, e=1,6×10-19C).
13
A) 9,1  10 m
11
B) 9,1  10 m
11
C) 1,94  10 m
11
D) 1,6  10 m
11
E) 7,78  10 m
303. Find the quantum of the energy if the wavelength equals 0,5 m
( c  3  10 8 m / s , h  6,62  10 34 J  s ).
A) 3,9710-19J
B) 5,9710-19J
C) 6,971019J
D) 4,9710-19J
E) 39,710-19J
304. Find the number of protons and neutrons of a nucleus of an isotope of
25
magnesium 12 Mg .
A) 12 protons, 13 neutrons
B) 12 protons, 12 neutrons
C) 12 protons, 14 neutrons
D) 13 protons, 12 neutrons
E) 14 protons, 12 neutrons
305. What is the final products of the 1 -decay and 2  - decay of uranium
A)
B)
234
92
U
234
86 0
P
238
92
U
?
C)
D)
E)
230
84 0
P
236
90
Th
234
90
Th
4
306. Find the binding energy of nucleus 2 He (the mass of helium nucleus is equal
mp=1,67 10-27kg, mn=1,68 10-27kg, c=3108m/s).
A) 4,510-12J
B) 410-12J
C) 510-12J
D) 3,510-12J
E) 310-12J
307. Binding energy is equal 4,510-12J. Find the defect of mass of a nucleus
(c=3108m/s).
A) 5 10-29kg
B) 2 10-28kg
C) 2,5 10-30kg
D) 1,5 10-28kg
E) 2 10-29kg
308. What is the final products of the 2 -decay and 1 - decay of nucleus
A)
B)
C)
D)
E)
253
98
X
245
95
Y
245
97
Y
245
93
Y
249
95
Y
249
97
Y
309. Find the mass number of the formed nucleus as a result of 1 decay of
237
U
nucleus 92 .
A) 237
B) 238
C) 239
D) 236
E) 240
310. Find the total internal energy of 1 g substances (c=3108m/s).
A) 91013J
?
B) 21013J
C) 31013J
D) 41013J
E) 81013J