Download Higher Level Multi A 1. Natalie measures the mass and speed of a

Higher Level Multi A
1.
Natalie measures the mass and speed of a glider. The percentage uncertainty in her
measurement of the mass is 3% and in the measurement of the speed is 10%. Her calculated
value of the kinetic energy of the glider will have an uncertainty of
A.
30%.
B.
23%.
C.
13%.
D.
10%.
(1)
2.
The power dissipated in a resistor of resistance R carrying a current I is equal to I2R. The value
of I has an uncertainty of ±2% and the value of R has an uncertainty of ±10%. The value of the
uncertainty in the calculated power dissipation is
A.
±8%.
B.
±12%.
C.
±14%.
D.
±20%.
(1)
3.
A student moves between two points P and Q as shown below.
x–direction
point P
point Q
y–direction
The displacement from P in the x-direction is dX. The displacement from P in the y-direction is
dY. The resultant displacement from P is dR.
Which of the following diagrams shows the three displacements from point P?
A.
B.
P
P
dR
dY
dX
C.
dR
Q
dY
P
dY
dR
Q
Q
dX
D.
dX
P
dY
dX
dR
Q
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Higher Level Multi A
(1)
4.
A general expression for Newton’s second law of motion is
F=
Δp
Δt
What condition is applied so that the law may be expressed in the form F = ma?
A.
The mass m is constant.
B.
The acceleration a is constant.
C.
The force F is constant.
D.
The direction of the force F is constant.
(1)
5.
An object of mass m is hung from a spring. When the object is pulled downwards and then
released, the frequency f of oscillation of the object is given by the expression
1
m
 2π
f
k
where k is a constant.
Which one of the following graphs would produce a straight-line for the variation with mass m
of frequency f?
x-axis
y-axis
A.
m
f
B.
m
1
f
C.
1
m2
1
f
D.
m
f2
(1)
6.
Forces of magnitude F1 and F2 act tangentially on the edge of a wheel of circumference S. The
wheel is made to complete one revolution about its centre, in the direction shown below.
F1
F2
Which one of the following is a correct expression for the work done on the wheel?
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Higher Level Multi A
A.
F1  S
B.
F2  S
C.
(F2 − F1)  S
D.
(F2 + F1)  S
(1)
7.
A gas is contained in a cylinder fitted with a piston as shown below.
piston
gas
When the gas is compressed rapidly by the piston its temperature rises because the molecules of
the gas
A.
are squeezed closer together.
B.
collide with each other more frequently.
C.
collide with the walls of the container more frequently.
D.
gain energy from the moving piston.
(1)
8.
Which two values of temperature are equivalent to the nearest degree when measured on the
Kelvin and on the Celsius scales of temperature?
Kelvin scale
Celsius scale
A.
40
313
B.
273
100
C.
313
40
D.
373
0
(1)
9.
The specific latent heat of vaporization of a substance is greater than its specific latent heat of
fusion because
A.
boiling takes place at a higher temperature than melting.
B.
thermal energy is required to raise the temperature from the melting point to the boiling
point.
C.
the volume of the substance decreases on freezing but increases when boiling.
D.
the increase in potential energy of the molecules is greater on boiling than on melting.
(1)
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Higher Level Multi A
10. Which one of the following is a correct statement of the second law of thermodynamics?
A.
When the state of a system changes its entropy increases.
B.
When the state of a system changes its entropy decreases.
C.
The total entropy of the universe is increasing with time.
D.
The total entropy of the universe is decreasing with time.
(1)
11.
The speed of a wave is defined as
A.
the speed at which the particles of the wave vibrate.
B.
the speed of the medium through which the wave passes.
C.
the speed of transfer of the energy of the wave.
D.
the speed at which the vibrations of the wave are produced.
(1)
12.
A heater has a resistance R when the potential difference across it is 12 V. In the circuit below,
it is connected in series with a 36 V supply and a resistor S.
36 V
S
To ensure that the potential difference across the heater is 12 V, the resistance of the resistor S
should be
A.
R
.
2
2R
.
3
B.
C.
3R
.
2
D.
2R.
(1)
13.
The diagram below shows the variation with time t of the emf E generated in a coil rotating in a
uniform magnetic field.
E
e
0
0
T
2
T
3T
2
t
–e
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Higher Level Multi A
What is the root-mean-square value Erms of the emf and also the frequency f of rotation of the
coil?
Erms
f
A.
e
2
T
B.
e
1
T
C.
D.
e
2
e
2
2
T
1
T
(1)
14.
Gravitational field strength at a point may be defined as
A.
the force on a small mass placed at the point.
B.
the force per unit mass on a small mass placed at the point.
C.
the work done to move unit mass from infinity to the point.
D.
the work done per unit mass to move a small mass from infinity to the point.
(1)
15.
Which one of the following graphs best represents the variation of the kinetic energy, KE, and
of the gravitational potential energy, GPE, of an orbiting satellite with its distance r from the
centre of the Earth?
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Higher Level Multi A
A.
B.
Energy
KE
Energy
KE
0
0
0
r
0
GPE
r
GPE
C.
D.
Energy
GPE
Energy
KE
0
0
0
r
0
r
KE
GPE
(1)
16.
A magnetic force acts on an electric charge in a magnetic field when
A.
the charge is not moving.
B.
the charge moves in the direction of the magnetic field.
C.
the charge moves in the opposite direction to the magnetic field.
D.
the charge moves at right angles to the lines of the magnetic field.
(1)
17.
A positively charged sphere falls vertically in a vacuum between two long parallel plates
carrying opposite charges. Which one of the following diagrams best shows the path followed
by the sphere?
A.
B.
–
+
–
+
–
+
–
+
–
+
–
+
C.
D.
–
+
–
+
–
+
–
+
–
+
–
+
(1)
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Higher Level Multi A
18.
The diagram below shows electric field lines in a region of space.
X
P
Y
Which of the following diagrams best shows the variation with distance d of the potential V
along the line XY?
A.
B.
V
V
X
P
Y
d
C.
X
P
Y
d
X
P
Y
d
D.
V
V
X
P
Y
d
(1)
19.
The number of nucleons in a nucleus is the number of
A.
particles in the nucleus.
B.
neutrons in the nucleus.
C.
protons in the nucleus.
D.
protons plus neutrons in the nucleus.
(1)
20.
The decay constant λ in radioactive decay is defined as
A.
the probability of decay per unit time of a nucleus.
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Higher Level Multi A
B.
the probability of decay of a nucleus.
C.


 ln 2 
 where T 1 is the half-life.
the constant 
 T 1 
2
 2 
D.
the constant in the radioactive decay equation N = N0e–λt.
(1)
21.
Three identical resistors of constant resistance are connected in series to a battery of negligible
internal resistance. The total power dissipated in the circuit is P.
The three resistors are now connected in parallel. The total power dissipated is
A.
P
.
3
B.
P.
C.
3P.
D.
9P.
(1)
22.
Which one of the following statements is true for the decay of a radioactive isotope?
A.
The activity at any particular time is proportional to the original number of nuclei present.
B.
The activity at any particular time is proportional to the number of nuclei of the isotope
present at that time.
C.
The activity at any particular time is proportional to the half-life of the isotope.
D.
The activity at any particular time is proportional to the decay constant of the isotope.
(1)
23.
A fixed mass of an ideal gas is heated at constant volume. Which one of the following graphs
best shows the variation with Celsius temperature t with pressure p of the gas?
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Higher Level Multi A
A.
B.
p
0
p
0
0
t /°C
C.
t /°C
0
t /°C
D.
p
0
24.
0
p
0
0
t /°C
When a gas in a thermally insulated cylinder is suddenly compressed, the change of state is
A.
adiabatic.
B.
isothermal.
C.
isobaric.
D.
isochoric.
(1)
25.
The diagram below shows energy transfers in a heat pump operating between two reservoirs at
temperatures TH and TC (TH  TC).
TH
QH
heat
pump
W
QC
TC
Which of the following gives the correct relationship between W, QC and QH?
A.
W  QH − QC
B.
W  QH − QC
C.
W = QH − QC
D.
W = QH + QC
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Higher Level Multi A
(1)
26.
Light from a double slit arrangement produces bright and dark fringes on a screen in the region
near point P, as indicated below.
P
coherent
light
screen
double slit
not to scale
The light from the two slits has equal amplitudes on reaching point P.Which one of the
following gives the change, if any, in the appearance of the bright and the dark fringes when the
amplitude of the light wave from one slit is reduced?
Bright fringes
Dark fringes
A.
Remains the same
Remains the same
B.
Becomes less bright
Remains the same
C.
Becomes less bright
Becomes more bright
D.
Remains the same
Becomes more bright
(1)
27.
A source of sound emits waves of wavelength λ, period T and speed v when at rest. The source
moves away from a stationary observer at speed V, relative to the observer. The wavelength of
the sound waves, as measured by the observer is
A.
λ + vT.
B.
λ – vT.
C.
λ +VT.
D.
λ – VT.
(1)
28.
A source of sound moves directly towards a stationary observer. The frequency of the sound
detected by the observer is different from the source frequency because
A.
the loudness of the sound increases as the source moves towards the observer.
B.
the apparent wavelength of the sound is longer.
C.
the speed of sound relative to the observer is increased.
D.
the apparent wavelength of the sound is shorter.
(1)
29.
Unpolarized light of intensity I0 is incident on a polarizer. The transmitted light is then incident
on a second polarizer. The axis of the second polarizer makes an angle of 60 to the axis of the
first polarizer.
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Higher Level Multi A
The cosine of 60 is
A.
I0 .
B.
I0
.
2
C.
I0
.
4
D.
I0
.
8
1
. The intensity of the light transmitted through the second polarizer is
2
(1)
30.
A resistor is connected in series with an alternating current supply of negligible internal
resistance. The peak value of the supply voltage is Vo and the peak value of the current in the
resistor is I0. The average power dissipation in the resistor is
A.
V0 I 0
2
V0 I 0
B.
2
C.
V0 I 0 .
D.
2 V0 I 0 .
(1)
31.
When a coil is rotated in a uniform magnetic field at a certain frequency, the variation with time
t of the induced emf E is as shown below.
E
0
0
t
The frequency of rotation of the coil is reduced to one half of its initial value. Which one of the
following graphs correctly shows the new variation with time t of the induced emf E?
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Higher Level Multi A
A.
0
C.
B.
E
0
0
0
t
D.
E
0
t
E
0
t
0
t
E
0
(1)
32. When electrons of suitable energy travel through a thin layer of graphite, a pattern of concentric
circles is produced on a screen.
fine beam of electrons
graphite
fluorescent screen
The production of this pattern is evidence for
A.
the wave nature of the electron.
B.
the nuclear model of the atom.
C.
the particle nature of the electron.
D.
the existence of X-rays.
(1)
33.
The work function of a metal may be defined as
A.
the minimum frequency of the incident electromagnetic radiation required to cause
photoelectric emission.
B.
the minimum wavelength of the incident electromagnetic radiation required to cause
photoelectric emission.
C.
the minimum energy of photons incident on a surface required to cause photoelectric
emission.
D.
the minimum energy required to take an electron from the interior to the surface to cause
photoelectric emission.
(1)
34.
The Bohr model of the hydrogen atom predicts
12
Higher Level Multi A
A.
the line spectra of multi-electron atoms.
B.
the wavelengths of the principal lines in the spectrum of atomic hydrogen.
C.
the wavelengths in the spectrum of molecular hydrogen.
D.
the relative intensities of the spectral lines of atomic hydrogen.
(1)
35.



A nucleus of the isotope potassium-40 40
decays to form a nucleus argon-40 40
19 K
18 Ar
Which one of the following correctly identifies the other two particles resulting from this
decay?
A.
− and v
B.
− and v
C.
+ and v
D.
+ and v

(1)
36. The depth of a “pit” on a CD is 150 nm. The wavelength of the laser used to read the
information on the CD must be
A.
600 nm.
B.
450 nm.
C.
300 nm.
D.
150 nm.
(1)
37.
The amount of charge that builds on a pixel in a charged coupled device (CCD) is proportional
to which property of the incident light?
A.
Intensity
D.
Amplitude
B.
Wavelength
C.
Frequency
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