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BASHA ACADEMY
(WEBSITE:www.bashaacademy.com)
NEW NO: 14, OLD NO: 45, PROF. SANJEEVI STREET, MYLAPORE,CHENNAI-4.
PHONE NUMBER: 7708457611,9840571484
XII (PHYSICS )PUBLIC PROBABLE PROBLEMS
UNIT-1 ELECTROSTATICS
1. Three capacitors each of capacitance 9 pF are connected in series
(i)
What is the total capacitance of the combination? (ii) What is the
potential difference across each capacitor, if the combination is connected
to 120 V supply?
2. Calculate (i) the potential at a point due a charge of 4 × 10−7C located at 0.09m
away (ii) work done in bringing a charge of 2 × 10−9 C from infinity to the point.
3. A sample of HCl gas is placed in an electric field of 2.5 × 104 N C−1. The dipole
moment of each HCl molecule is 3.4 × 10−30 C m. Find the maximum torque that
can act on a molecule.
4. Three charges – 2 × 10−9C, +3 × 10−9C, –4 × 10−9C are placed at the vertices of an
equilateral triangle ABC of side 20 cm. Calculate the work done in shifting the
charges A, B and C to A1, B1 and C1 respectively which are the mid points of the
sides of the triangle.
UNIT-2 CURRENT ELECTRICITY
1. If 6.25 × 1018 electrons flow through a given cross section in unit time, find the
current. (Given : Charge of an electron is 1.6 × 10–19 C)
2. A copper wire of 10−6 m2 area of cross section, carries a current of 2 A. If the
number of electrons per cubic metre is 8 × 10 28, calculate the current density and
average drift velocity.
3. An incandescent lamp is operated at 240 V and the current is 0.5 A. What is the
resistance of the lamp ?
4. The resistance of a nichrome wire at 0o C is 10 Ω. If its temperature
coefficient of resistance is 0.004/oC, find its resistance at boiling point
of water. Comment on the result.
5. Two wires of same material and length have resistances 5 Ω and 10
Ω respectively. Find the ratio of radii of the two wires.
6. Find the current flowing across three resistors 3Ω, 5Ω and 2Ω connected in parallel
to a 15 V supply. Also find the effective resistance and total current drawn from the
supply.
BASHA ACADEMY
(WEBSITE:www.bashaacademy.com)
NEW NO: 14, OLD NO: 45, PROF. SANJEEVI STREET, MYLAPORE,CHENNAI-4.
PHONE NUMBER: 7708457611,9840571484
XII (PHYSICS )PUBLIC PROBABLE PROBLEMS
a.
7. In the given network, calculate the effective resistance between
a. points A and B
8. A manganin wire of length 2m has a diameter of 0.4 mm with a resistance of 70 Ω.
Find the resistivity of the material.
9. The effective resistances are 10Ω, 2.4Ω when two resistors are connected in series
and parallel. What are the resistances of individual resistors?
10. An iron box of 400 W power is used daily for 30 minutes. If the cost per unit is 75
paise, find the weekly expense on using the iron box.
11. In a metre bridge, the balancing length for a 10 Ω resistance in left gap is 51.8 cm.
Find the unknown resistance and specific resistance of a wire of length 108 cm and
radius 0.2 mm.
12. Find the effective resistance between A and B in the given circuit
13. The resistance of a platinum wire at 00 C is 4 Ω. What will be the resistance of the
wire at 100oC if the temperature coefficient of resistance of platinum is 0.0038 /0 C.
14. A 1.5 V carbon – zinc dry cell is connected across a load of 1000 Ω. Calculate the
current and power supplied to it.
BASHA ACADEMY
(WEBSITE:www.bashaacademy.com)
NEW NO: 14, OLD NO: 45, PROF. SANJEEVI STREET, MYLAPORE,CHENNAI-4.
PHONE NUMBER: 7708457611,9840571484
XII (PHYSICS )PUBLIC PROBABLE PROBLEMS
15.
In the given circuit, what is the total resistance and current supplied by the battery.
UNIT-3 EFFECTS OF ELECTRIC CURRENT
1. Calculate the resistance of the filament of a 100 W, 220 Velectric bulb.
2. A long straight wire carrying current produces a magnetic induction of 4 × 10-6T at
a point, 15 cm from the wire. Calculate the current through the wire.
3. In a tangent galvanometer, a current of 1A produces a deflection of 300. Find the
current required to produce a deflection of 600.
4. Two parallel wires each of length 5m are placed at a distance of 10 cm apart in air.
They carry equal currents along the same direction and experience a mutually
attractive force of 3.6 × 10-4 N. Find the current through the conductors.
5. A rectangular coil of area 20 cm × 10 cm with 100 turns of wire is suspended in a
radial magnetic field of induction 5 × 10-3 T. If the galvanometer shows an angular
deflection of 150 for a current of 1mA, find the torsional constant of the suspension
wire.
6. A moving coil galvanometer of resistance 20 Ω produces full scale deflection for a
current of 50 mA. How you will convert the galvanometer into (i) an ammeter of
range 20 A and (ii) a voltmeter of range 120 V.
7. The deflection in a galvanometer falls from 50 divisions to 10 divisions when 12 Ω
resistance is connected across the galvanometer. Calculate the galvanometer
resistance.
8. In a thermocouple, the temperature of the cold junction is – 20Oc and the
temperature of inversion is 600oC. If the temperature of the cold junction is 20oC,
find the temperature of inversion.
BASHA ACADEMY
(WEBSITE:www.bashaacademy.com)
NEW NO: 14, OLD NO: 45, PROF. SANJEEVI STREET, MYLAPORE,CHENNAI-4.
PHONE NUMBER: 7708457611,9840571484
XII (PHYSICS )PUBLIC PROBABLE PROBLEMS
9. A circular coil of radius 20 cm has 100 turns wire and it carries a current of 5A.
Find the magnetic induction at a point along its axis at a distance of 20 cm from the
centre of the coil.
10. A rectangular coil of 500 turns and of area 6 × 10-4 m2 is suspended inside a radial
magnetic field of induction 10-4 T by a suspension wire of torsional constant 5 × 10-10
Nm per degree. calculate the current required to produce a deflection of 10o.
11. Two straight infinitely long parallel wires carrying equal currents and placed at a
distance of 20 cm apart in air experience a mutally attractive force of 4.9 × 10 -5 N
per unit length of the wire. Calculate the current.
12. A galvanometer has a resistance of 40 Ω. It shows full scale deflection for a current
of 2 mA. How you will convert the galvanometer into a voltmeter of range 0 to 20V?
UNIT-4 E.M.INDUCTION AND ALTERNATING CURRENT
1. An aircraft having a wingspan of 20.48 m flies due north at a speed of 40 ms−1. If
the vertical component of earth’s magnetic field at the place is 2 × 10−5 T, Calculate
the emf induced between the ends of the wings.
2. A solenoid of length 1 m and 0.05 m diameter has 500 turns. If a current of 2A
passes through the coil, calculate (i) the coefficient of self induction of the coil and
(ii) the magnetic flux linked with a the coil.
3. Calculate the mutual inductance between two coils when a current of 4 A changing
to 8 A in 0.5 s in one coil, induces an emf of 50 mV in the other coil.
4. An a.c. generator consists of a coil of 10,000 turns and of area 100 cm2. The coil
rotates at an angular speed of 140 rpm in a uniform magnetic field of 3.6 × 10−2 T.
Find the maximum value of the emf induced.
5. Write the equation of a 25 cycle current sine wave having rms value of 30 A.
6. A capacitor of capacitance 2 μF is in an a.c. circuit of frequency 1000 Hz. If the rms
value of the applied emf is 10 V, find the effective current flowing in the circuit.
7. Two rails of a railway track insulated from each other and the ground are
connected to a millivoltmeter. The train runs at a speed of 180 Km/hr. Vertical
component of earth’s magnetic field is 0.2 × 10−4 Wb/m2 and the rails are separated
by 1m. Find the reading of the voltmeter.
BASHA ACADEMY
(WEBSITE:www.bashaacademy.com)
NEW NO: 14, OLD NO: 45, PROF. SANJEEVI STREET, MYLAPORE,CHENNAI-4.
PHONE NUMBER: 7708457611,9840571484
XII (PHYSICS )PUBLIC PROBABLE PROBLEMS
UNIT-5,E.M.WAVES AND WAVE OPTICS
1. In Young’s double slit experiment two coherent sources of intensity ratio of 64 : 1,
produce interference fringes. Calculate the ratio of maximium and minimum
intensities.
2. In Young’s experiment, the width of the fringes obtained with light of wavelength
6000 Å is 2 mm. Calculate the fringe width if the entire apparatus is immersed in a
liquid of refractive index 1.33.
3. A soap film of refractive index 1.33, is illuminated by white light incident at an angle
30o. The reflected light is examined by spectroscope in which dark band
corresponding to the wavelength 6000Å is found. Calculate the smallest thickness of
the film.
4. A plano – convex lens of radius 3 m is placed on an optically flat glass plate and is
illuminated by monochromatic light. The radius of the 8th dark ring is 3.6 mm.
Calculate the wavelength of light used.
5. In Newton’s rings experiment the diameter of certain order of dark ring is
measured to be double that of second ring. What is the order of the ring?
6. A parallel beam of monochromatic light is allowed to incident normally on a plane
transmission grating having 5000 lines per centimetre. A second order spectral line
is found to be diffracted at an angle 30o. Find the wavelength of the light.
7. A 300 mm long tube containing 60 cc of sugar solution produces a rotation of 9 o
when placed in a polarimeter. If the specific rotation is 60o, calculate the quantity of
sugar contained in the solution.
8. An LC resonant circuit contains a capacitor 400 pF and an inductor 100 μH. It is
sent into oscillations coupled to an antenna. Calculate the wavelength of the
radiated electromagnetic wave.
9. A monochromatic light of wavelength 589 nm is incident on a water surface having
refractive index 1.33. Find the velocity, frequency and wavelength of light in water.
10. In Young’s experiment a light of frequency 6 × 1014 Hz is used. Distance between the
centres of adjacent fringes is 0.75 mm. Calculate the distance between the slits, if the
screen is 1.5 m away.
11. A light of wavelength 6000 Å falls normally on a thin air film, 6 dark fringes are
seen between two points. Calculate the thickness of the air film.
BASHA ACADEMY
(WEBSITE:www.bashaacademy.com)
NEW NO: 14, OLD NO: 45, PROF. SANJEEVI STREET, MYLAPORE,CHENNAI-4.
PHONE NUMBER: 7708457611,9840571484
XII (PHYSICS )PUBLIC PROBABLE PROBLEMS
12. In a Newton’s rings experiment the diameter of the 20th dark ring was found to be
5.82 mm and that of the 10th ring 3.36 mm. If the radius of the plano−convex lens is
1 m. Calculate the wavelength of light used.
13. The refractive index of the medium is √3 . Calculate the angle of refraction if the
unpolarised light is incident on it at the polarizing angle of the medium.
UNIT-6 ATOMIC PHYSICS
1. A beam of electrons moving with a uniform speed of 4 × 107 ms−1 is projected
normal to the uniform magnetic field where B = 1 × 10−3 Wb/m2. What is the path of
the beam in magnetic field?
2. The Rydberg constant for hydrogen is 1.097 × 107ms−1. Calculate the short and long
wavelength limits of Lyman series.
3. Calculate the longest wavelength that can be analysed by a rock salt crystal of
spacing d = 2.82Å in the first order.
4. An X−ray diffraction of a crystal gave the closest line at an angle of 6o27 ′. If the
wavelength of X−ray is 0.58Å, find the distance between the two cleavage planes.
5. How much should be the voltage of an X−ray tube so that the electrons emitted from
the cathode may give an X−ray of wavelength 1Å after striking the target.
6. Find the minimum wavelength of X−rays produced by an X−ray tube at 1000 kV.
UNIT-7 DUAL NATURE OF RADIATION AND MATTER AND RELATIVITY
1. A metallic surface when illuminated with light of wavelength 3333 Å emits electrons
with energies upto 0.6 eV. Calculate the work function of the metal.
2. What is the de Broglie wave length of an electron of kinetic energy 120 eV?
3. How fast would a rocket have to go relative to an observer for its length to be
corrected to 99% of its length at rest.
4. The rest mass of an electron is 9.1 × 10−31 kg. What will be its mass if it moves with
4/5th of the speed of light?
5. The work function of Iron is 4.7 eV. Calculate the cut off frequency and the
corresponding cut off wave length for this metal.
BASHA ACADEMY
(WEBSITE:www.bashaacademy.com)
NEW NO: 14, OLD NO: 45, PROF. SANJEEVI STREET, MYLAPORE,CHENNAI-4.
PHONE NUMBER: 7708457611,9840571484
XII (PHYSICS )PUBLIC PROBABLE PROBLEMS
UNIT-8 NUCLEAR PHYSICS
1. The binding energy per nucleon for 6C12 nucleus is 7.68 MeV and that for 6C13 is
7.47 MeV. Calculate the energy required to remove a neutron from 6C13 nucleus.
2. Calculate the time required for 60% of a sample of radon to undergo decay. Given
T½ of radon = 3.8 days
3. Calculate the energy released in the reaction 13Al27 + 1H2 → 12Mg25 + 2He4
4. Calculate the energy released when 1 kg of 92U235 undergoes nuclear fission. Assume,
energy per fission is 200 MeV. Avagadro number = 6.023 × 1023. Express your
answer in kilowatt hour also.
5. A piece of bone from an archaeological site is found to give a count rate of 15 counts
per minute. A similar sample of fresh bone gives a count rate of 19 counts per
minute. Calculate the age of the specimen. Given : T½ = 5570 years
6. Find the energy released when two 1H2 nuclei fuse together to form a single 2He4
nucleus. Given, the binding energy per nucleon of 1H2 and 2He4 are 1.1 MeV and 7.0
MeV respectively.
7. Calculate the energy released in the following reaction 3Li6 + 0n1 → 2He4 + 1H3
Given
mass of 3Li6 nucleus = 6.015126 amu
Mass of 1H3 nucleus = 3.016049 amu
Mass of 2He4 nucleus = 4.002604 amu
Mass of 0n1
= 1.008665 amu
8. Tritium has a half life of 12.5 years. What fraction of the sample will be left over
after 25 years?
9. Show that the mass of radium (88Ra226) with an activity of 1 curie is almost a gram.
Given T½ = 1600 years; 1 curie = 3.7 × 1010 disintegrations per second.
10. A reactor is developing energy at the rate of 32 MW. Calculate the required number
of fissions per second of 92U235. Assume that energy per fission is 200 MeV.
BASHA ACADEMY
(WEBSITE:www.bashaacademy.com)
NEW NO: 14, OLD NO: 45, PROF. SANJEEVI STREET, MYLAPORE,CHENNAI-4.
PHONE NUMBER: 7708457611,9840571484
XII (PHYSICS )PUBLIC PROBABLE PROBLEMS
11. A carbon specimen found in a cave contained a fraction of 1/8 of C14 to that present
in a living system. Calculate the approximate age of the specimen. Given T½ for 6C14
= 5560 years.
12. The radioactive isotope 84Po214 undergoes a successive disintegration of two α–
decays and two β-decays. Find the atomic number and mass number of the resulting
isotope.
13. The half life of radon is 3.8 days. Calculate its mean life
UNIT-9 SEMI-CONDUCTOR DEVICES AND THEIR APPLICATIONS
1. When the negative feedback is applied to an amplifier of gain 50, the gain after
feedback falls to 25. Calculate the feedback ratio.
2. The outputs of two NOT gates are NORed, as shown
in figure. What is this combination equivalent to?
3. Find the output of the ideal operational amplifer shown in the figure for each of the
following input signals
a. Vin = 120 mV dc
b. Vin = 0.5 sin ωt
c. Vin = −2.5 V dc
d. Vin = 4 − sin ωt.V
e. Vin = 0.8 sin (ωt + 75o) V
4. Find
the
output
of
the
circuit
given
below
5. The base current of the transistor is 50 μA and collector current is 25 mA.
Determine the values of β and α.
BASHA ACADEMY
(WEBSITE:www.bashaacademy.com)
NEW NO: 14, OLD NO: 45, PROF. SANJEEVI STREET, MYLAPORE,CHENNAI-4.
PHONE NUMBER: 7708457611,9840571484
XII (PHYSICS )PUBLIC PROBABLE PROBLEMS
6. Find the voltage at the point B in the figure (Silicon diode is used).
7. The gain of the amplifier is 100. If 5% of the output voltage is fed back into the
input through a negative feed back network. Find out the voltage gain after feed
back.
8. What is the Boolean expression for the logic diagram shown in figure. Evaluate its
output if A = 1, B = 1 and C = 1.
9. Give the Boolean equation for the given logic
diagram.
10. Find the output of the given circuit.
UNIT 10 COMMUNICATION SYSTEMS
1. A 10 MHz sinusoidal carrier wave of amplitude 10 mV is modulated by a 5 kHz
sinusoidal audio signal wave of amplitude 6 mV. Find the frequency components of
the resultant modulated wave and their amplitude.