Physics · Sample Paper 3

General instructions

Section A · Class 11 syllabus

1. Question 14 marks

   The dimensional formula of impulse is the same as that of

   1. A.force
   2. B.momentum
   3. C.energy
   4. D.power
2. Question 24 marks

   A physical quantity $P=\frac{a^{2}b}{c}$. If the percentage errors in a, b and c are 1%, 2% and 3%, the maximum error in P is

   1. A.6%
   2. B.7%
   3. C.4%
   4. D.5%
3. Question 34 marks

   A body starts from rest with acceleration $4{\text{m s}}^{-2}$. The distance travelled in the 3rd second is

   1. A.10 m
   2. B.18 m
   3. C.8 m
   4. D.12 m
4. Question 44 marks

   A ball is thrown up at $30{\text{m s}}^{-1}$. Its velocity after 2 s is

   1. A.$10{\text{m s}}^{-1}$ upward
   2. B.$10{\text{m s}}^{-1}$ downward
   3. C.$20{\text{m s}}^{-1}$ upward
   4. D.zero
5. Question 54 marks

   A projectile has maximum range R. Its maximum height at that angle is

   1. A.R
   2. B.R/2
   3. C.R/4
   4. D.2R
6. Question 64 marks

   A particle moves in a circle of radius 1 m with angular speed 2 rad/s. Its linear speed is

   1. A.$1{\text{m s}}^{-1}$
   2. B.$2{\text{m s}}^{-1}$
   3. C.$4{\text{m s}}^{-1}$
   4. D.$0.5{\text{m s}}^{-1}$
7. Question 74 marks

   A 10 kg block on a frictionless surface is pulled by a horizontal force of 20 N. After 3 s its speed is

   1. A.$2{\text{m s}}^{-1}$
   2. B.$6{\text{m s}}^{-1}$
   3. C.$60{\text{m s}}^{-1}$
   4. D.$3{\text{m s}}^{-1}$
8. Question 84 marks

   The maximum speed of a car on a banked road (no friction) of radius r and angle θ is

   1. A.$\sqrt{rg\tan \theta }$
   2. B.$\sqrt{rg}$
   3. C.$rg\tan \theta$
   4. D.$\sqrt{rg\sin \theta }$
9. Question 94 marks

   A spring of constant 200 N/m is stretched by 10 cm. The work done is

   1. A.1 J
   2. B.2 J
   3. C.10 J
   4. D.20 J
10. Question 104 marks

    In a perfectly inelastic collision,

    1. A.kinetic energy is conserved
    2. B.momentum is conserved but kinetic energy is not
    3. C.neither is conserved
    4. D.only energy is conserved
11. Question 114 marks

    The radius of gyration of a solid sphere about its diameter is

    1. A.$\sqrt{\frac{2}{5}}R$
    2. B.$\frac{2}{5}R$
    3. C.$\sqrt{\frac{2}{3}}R$
    4. D.$\frac{R}{2}$
12. Question 124 marks

    A torque of 10 N m acts on a wheel of moment of inertia $2{\text{kg m}}^2$. Its angular acceleration is

    1. A.$5{\text{rad s}}^{-2}$
    2. B.$20{\text{rad s}}^{-2}$
    3. C.$0.2{\text{rad s}}^{-2}$
    4. D.$12{\text{rad s}}^{-2}$
13. Question 134 marks

    The orbital speed of a satellite at height h above the Earth is

    1. A.$\sqrt{\frac{GM}{R+h}}$
    2. B.$\sqrt{\frac{2GM}{R+h}}$
    3. C.$\frac{GM}{R+h}$
    4. D.$\sqrt{gR}$ always
14. Question 144 marks

    The value of g at the centre of the Earth is

    1. A.maximum
    2. B.zero
    3. C.9.8 m/s²
    4. D.infinite
15. Question 154 marks

    The bulk modulus of a perfectly rigid body is

    1. A.zero
    2. B.infinite
    3. C.1
    4. D.negative
16. Question 164 marks

    Water rises to height h in a capillary tube. If the tube is taken to the Moon (g/6), water rises to

    1. A.h
    2. B.6h
    3. C.h/6
    4. D.$\sqrt{6}h$
17. Question 174 marks

    Wien's displacement law states that

    1. A.${\lambda }_{m}T$ = constant
    2. B.${\lambda }_m/T$ = constant
    3. C.$E\propto T^4$
    4. D.${\lambda }_m\propto T$
18. Question 184 marks

    In an isochoric process, the work done by the gas is

    1. A.maximum
    2. B.zero
    3. C.negative
    4. D.equal to heat supplied
19. Question 194 marks

    An ideal gas absorbs 500 J of heat and does 300 J of work. The change in internal energy is

    1. A.200 J
    2. B.800 J
    3. C.−200 J
    4. D.500 J
20. Question 204 marks

    The average kinetic energy of a gas molecule at temperature T is

    1. A.$\frac{3}{2}{k}_{B}T$
    2. B.$\frac{1}{2}{k}_{B}T$
    3. C.$k_{B}T$
    4. D.$3k_{B}T$
21. Question 214 marks

    The displacement of a particle in SHM is $x=5\sin (4\pi t)$ cm. Its time period is

    1. A.0.5 s
    2. B.2 s
    3. C.4 s
    4. D.0.25 s
22. Question 224 marks

    Two waves of frequencies 400 Hz and 404 Hz superpose. The number of beats per second is

    1. A.2
    2. B.4
    3. C.8
    4. D.404

Section B · Class 12 syllabus

1. Question 234 marks

   The force between two charges in air is F. If they are placed in a medium of dielectric constant 4, the force becomes

   1. A.F/4
   2. B.4F
   3. C.F/2
   4. D.F
2. Question 244 marks

   The electric field at the centre of a uniformly charged ring is

   1. A.maximum
   2. B.zero
   3. C.$kQ/R^2$
   4. D.infinite
3. Question 254 marks

   A capacitor of 4 μF charged to 50 V is connected across an uncharged 4 μF capacitor. The common potential is

   1. A.25 V
   2. B.50 V
   3. C.100 V
   4. D.12.5 V
4. Question 264 marks

   The potential at a point due to an electric dipole on its equatorial line is

   1. A.maximum
   2. B.zero
   3. C.$kp/r^2$
   4. D.infinite
5. Question 274 marks

   The resistance of a wire of resistivity ρ, length 2 m and area $1{\text{mm}}^2$ is 1 Ω. Its resistivity is

   1. A.$5\times 10^{-7}$ Ω m
   2. B.$2\times 10^{-6}$ Ω m
   3. C.$10^{-6}$ Ω m
   4. D.$5\times 10^{-6}$ Ω m
6. Question 284 marks

   Kirchhoff's junction rule is based on conservation of

   1. A.energy
   2. B.charge
   3. C.momentum
   4. D.mass
7. Question 294 marks

   The magnetic field inside a long solenoid with n turns per metre carrying current I is

   1. A.${\mu }_{0}nI$
   2. B.${\mu }_{0}I/2\pi r$
   3. C.${\mu }_{0}nI/2$
   4. D.zero
8. Question 304 marks

   A galvanometer of resistance 50 Ω gives full deflection at 1 mA. To convert it into a voltmeter of range 10 V, the series resistance needed is

   1. A.9950 Ω
   2. B.10 000 Ω
   3. C.950 Ω
   4. D.50 Ω
9. Question 314 marks

   The materials used to make permanent magnets should have

   1. A.low retentivity and low coercivity
   2. B.high retentivity and high coercivity
   3. C.low retentivity and high coercivity
   4. D.high permeability only
10. Question 324 marks

    The self-inductance of a coil is 2 H. If the current changes from 0 to 4 A in 0.5 s, the induced emf is

    1. A.4 V
    2. B.8 V
    3. C.16 V
    4. D.2 V
11. Question 334 marks

    In a pure inductive AC circuit, the current

    1. A.leads the voltage by 90°
    2. B.lags the voltage by 90°
    3. C.is in phase with voltage
    4. D.lags by 180°
12. Question 344 marks

    The resonant frequency of an LC circuit with L = 0.1 H and C = 10 μF is about

    1. A.160 Hz
    2. B.1000 Hz
    3. C.16 Hz
    4. D.500 Hz
13. Question 354 marks

    Which of these waves has the highest frequency?

    1. A.microwaves
    2. B.visible light
    3. C.X-rays
    4. D.radio waves
14. Question 364 marks

    A ray passes through a glass slab. The emergent ray is

    1. A.parallel to the incident ray but laterally displaced
    2. B.along the incident ray
    3. C.perpendicular to it
    4. D.totally reflected
15. Question 374 marks

    The magnifying power of a simple microscope with f = 5 cm, image at the near point (25 cm), is

    1. A.5
    2. B.6
    3. C.4
    4. D.25
16. Question 384 marks

    In Young's experiment, the fringe width is 0.4 mm. If the slit separation is doubled and the screen distance is also doubled, the new fringe width is

    1. A.0.2 mm
    2. B.0.4 mm
    3. C.0.8 mm
    4. D.1.6 mm
17. Question 394 marks

    Which phenomenon cannot be explained by the wave nature of light?

    1. A.interference
    2. B.diffraction
    3. C.photoelectric effect
    4. D.polarisation
18. Question 404 marks

    The threshold wavelength of a metal is 600 nm. Its work function is about

    1. A.2.07 eV
    2. B.1.5 eV
    3. C.3.1 eV
    4. D.4.1 eV
19. Question 414 marks

    If the kinetic energy of a particle is made four times, its de Broglie wavelength becomes

    1. A.half
    2. B.double
    3. C.one-fourth
    4. D.four times
20. Question 424 marks

    The energy of the electron in the ground state of hydrogen is −13.6 eV. In the n = 3 state it is

    1. A.−1.51 eV
    2. B.−3.4 eV
    3. C.−4.53 eV
    4. D.−0.85 eV
21. Question 434 marks

    In β⁻ decay,

    1. A.a proton changes into a neutron
    2. B.a neutron changes into a proton
    3. C.an alpha particle is emitted
    4. D.mass number decreases by 4
22. Question 444 marks

    A Zener diode is mainly used as a

    1. A.rectifier
    2. B.voltage regulator
    3. C.amplifier
    4. D.oscillator
23. Question 454 marks

    The forbidden energy gap of an insulator is typically

    1. A.less than 1 eV
    2. B.about 1 eV
    3. C.more than 3 eV
    4. D.zero