Physics · Sample Paper 2

General instructions

Section A · Class 11 syllabus

1. Question 14 marks

   The dimensional formula of the gravitational constant G is

   1. A.$[M^{-1}{L}^3{T}^{-2}]$
   2. B.$[M{L}^3{T}^{-2}]$
   3. C.$[M^{-1}{L}^2{T}^{-2}]$
   4. D.$[M{L}^2{T}^{-2}]$
2. Question 24 marks

   The number of significant figures in $3.0500\times 10^4$ is

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

   A car moving at $20{\text{m s}}^{-1}$ is brought to rest in 4 s with uniform retardation. The distance covered while stopping is

   1. A.20 m
   2. B.40 m
   3. C.80 m
   4. D.10 m
4. Question 44 marks

   A stone thrown vertically upward returns to the thrower after 4 s. Its initial speed was

   1. A.$10{\text{m s}}^{-1}$
   2. B.$20{\text{m s}}^{-1}$
   3. C.$40{\text{m s}}^{-1}$
   4. D.$5{\text{m s}}^{-1}$
5. Question 54 marks

   For a projectile, the range is maximum when the angle of projection is

   1. A.$30^{\circ }$
   2. B.$45^{\circ }$
   3. C.$60^{\circ }$
   4. D.$90^{\circ }$
6. Question 64 marks

   Two vectors of magnitudes 3 and 4 are at right angles. The magnitude of their resultant is

   1. A.1
   2. B.5
   3. C.7
   4. D.12
7. Question 74 marks

   A 60 kg person stands in a lift accelerating upward at $2{\text{m s}}^{-2}$. The apparent weight is

   1. A.480 N
   2. B.600 N
   3. C.720 N
   4. D.120 N
8. Question 84 marks

   A car takes a turn of radius 50 m on a level road. If ${\mu }_s=0.5$, the maximum safe speed is

   1. A.$5{\text{m s}}^{-1}$
   2. B.$10{\text{m s}}^{-1}$
   3. C.$15.8{\text{m s}}^{-1}$
   4. D.$25{\text{m s}}^{-1}$
9. Question 94 marks

   A pump lifts 100 kg of water through 10 m in 20 s. Its power is

   1. A.50 W
   2. B.200 W
   3. C.500 W
   4. D.1000 W
10. Question 104 marks

    If the momentum of a body increases by 20%, its kinetic energy increases by

    1. A.20%
    2. B.40%
    3. C.44%
    4. D.10%
11. Question 114 marks

    The moment of inertia of a thin uniform rod of mass M and length L about an axis through one end, perpendicular to it, is

    1. A.$\frac{M{L}^2}{12}$
    2. B.$\frac{M{L}^2}{3}$
    3. C.$\frac{M{L}^2}{2}$
    4. D.$M{L}^2$
12. Question 124 marks

    A skater spinning with arms outstretched pulls them in. Her angular velocity

    1. A.decreases
    2. B.increases
    3. C.stays the same
    4. D.becomes zero
13. Question 134 marks

    The escape speed from a planet with twice the Earth's radius and the same mean density is

    1. A.the same as Earth's
    2. B.twice Earth's
    3. C.half Earth's
    4. D.$\sqrt{2}$ times Earth's
14. Question 144 marks

    At what height above the Earth's surface is g reduced to one-fourth of its surface value? (R = Earth's radius)

    1. A.$R/2$
    2. B.$R$
    3. C.$2R$
    4. D.$4R$
15. Question 154 marks

    The Young's modulus of a perfectly rigid body is

    1. A.zero
    2. B.1
    3. C.infinite
    4. D.depends on shape
16. Question 164 marks

    Water flows through a horizontal pipe of varying cross-section. Where the pipe is narrower,

    1. A.speed and pressure both increase
    2. B.speed increases and pressure decreases
    3. C.speed decreases and pressure increases
    4. D.both decrease
17. Question 174 marks

    Two rods of the same material and length but radii in the ratio 1 : 2 have the same temperature difference. Their rates of heat flow are in the ratio

    1. A.1 : 2
    2. B.1 : 4
    3. C.2 : 1
    4. D.4 : 1
18. Question 184 marks

    In an isothermal expansion of an ideal gas,

    1. A.internal energy increases
    2. B.internal energy is unchanged and heat absorbed equals work done
    3. C.no heat is exchanged
    4. D.temperature falls
19. Question 194 marks

    A refrigerator works between 270 K and 300 K. Its coefficient of performance (Carnot) is

    1. A.9
    2. B.10
    3. C.0.1
    4. D.1.1
20. Question 204 marks

    The rms speed of a gas at 300 K is v. At 1200 K it is

    1. A.v
    2. B.2v
    3. C.4v
    4. D.v/2
21. Question 214 marks

    A particle in SHM has amplitude 4 cm. At what displacement is its kinetic energy equal to its potential energy?

    1. A.2 cm
    2. B.$2\sqrt{2}$ cm
    3. C.4 cm
    4. D.$\sqrt{2}$ cm
22. Question 224 marks

    A string fixed at both ends is 1 m long; the wave speed is $200{\text{m s}}^{-1}$. Its fundamental frequency is

    1. A.50 Hz
    2. B.100 Hz
    3. C.200 Hz
    4. D.400 Hz

Section B · Class 12 syllabus

1. Question 234 marks

   The electric field at a distance r from an infinitely long line charge of density λ varies as

   1. A.$1/r$
   2. B.$1/r^2$
   3. C.$r$
   4. D.$1/r^3$
2. Question 244 marks

   A dipole of moment p is placed in a uniform field E at $90^{\circ }$ to it. The torque on it is

   1. A.0
   2. B.pE
   3. C.pE/2
   4. D.2pE
3. Question 254 marks

   The energy stored in a 10 μF capacitor charged to 100 V is

   1. A.0.05 J
   2. B.0.5 J
   3. C.0.1 J
   4. D.5 J
4. Question 264 marks

   Inside a charged hollow conducting sphere, the potential is

   1. A.zero
   2. B.constant and equal to that on the surface
   3. C.increasing towards the centre
   4. D.decreasing towards the centre
5. Question 274 marks

   A cell of emf 2 V and internal resistance 0.5 Ω is connected to a 1.5 Ω resistor. The terminal voltage is

   1. A.2 V
   2. B.1.5 V
   3. C.1 V
   4. D.0.5 V
6. Question 284 marks

   In a balanced Wheatstone bridge, P = 2 Ω, Q = 4 Ω, R = 6 Ω. The value of S is

   1. A.3 Ω
   2. B.8 Ω
   3. C.12 Ω
   4. D.6 Ω
7. Question 294 marks

   A proton and an alpha particle enter a uniform magnetic field perpendicularly with the same speed. The ratio of their radii $r_p:r_{\alpha }$ is

   1. A.1 : 2
   2. B.2 : 1
   3. C.1 : 1
   4. D.1 : 4
8. Question 304 marks

   Two long parallel wires carry currents in the same direction. They

   1. A.repel
   2. B.attract
   3. C.do not interact
   4. D.rotate
9. Question 314 marks

   Which of these is diamagnetic?

   1. A.iron
   2. B.aluminium
   3. C.bismuth
   4. D.nickel
10. Question 324 marks

    A rod of length 1 m moves at $5{\text{m s}}^{-1}$ perpendicular to a 0.2 T field. The motional emf is

    1. A.0.5 V
    2. B.1 V
    3. C.2 V
    4. D.5 V
11. Question 334 marks

    The power factor of a series LCR circuit at resonance is

    1. A.0
    2. B.0.5
    3. C.1
    4. D.infinity
12. Question 344 marks

    A step-down transformer converts 220 V to 11 V. If the primary has 1000 turns, the secondary has

    1. A.20
    2. B.50
    3. C.500
    4. D.20 000
13. Question 354 marks

    Which electromagnetic waves are used for sterilising surgical instruments?

    1. A.infrared
    2. B.microwaves
    3. C.ultraviolet
    4. D.radio waves
14. Question 364 marks

    Two thin lenses of powers +5 D and −3 D are in contact. The focal length of the combination is

    1. A.50 cm
    2. B.20 cm
    3. C.−50 cm
    4. D.12.5 cm
15. Question 374 marks

    An astronomical telescope has objective and eyepiece focal lengths 100 cm and 5 cm. Its magnifying power in normal adjustment is

    1. A.5
    2. B.20
    3. C.105
    4. D.500
16. Question 384 marks

    In a single-slit diffraction pattern, the central maximum is

    1. A.half as wide as the other maxima
    2. B.twice as wide as the other maxima
    3. C.equal in width to the others
    4. D.dark
17. Question 394 marks

    Light is incident on glass of refractive index $\sqrt{3}$ at the Brewster angle. The angle of incidence is

    1. A.$30^{\circ }$
    2. B.$45^{\circ }$
    3. C.$60^{\circ }$
    4. D.$90^{\circ }$
18. Question 404 marks

    In the photoelectric effect, increasing the intensity of light (frequency fixed above threshold) increases the

    1. A.maximum kinetic energy
    2. B.stopping potential
    3. C.photocurrent
    4. D.work function
19. Question 414 marks

    The de Broglie wavelength of an electron accelerated through 100 V is about

    1. A.1.23 Å
    2. B.12.3 Å
    3. C.0.123 Å
    4. D.123 Å
20. Question 424 marks

    The ratio of radii of the first and second Bohr orbits of hydrogen is

    1. A.1 : 2
    2. B.1 : 4
    3. C.2 : 1
    4. D.4 : 1
21. Question 434 marks

    In the reaction ${}_{92}^{235}U{+}_0^{1}n{\to }_{56}^{141}Ba{+}_{36}^{92}Kr+x{}_0^{1}n$, x is

    1. A.1
    2. B.2
    3. C.3
    4. D.4
22. Question 444 marks

    In a full-wave rectifier with input frequency 50 Hz, the output ripple frequency is

    1. A.25 Hz
    2. B.50 Hz
    3. C.100 Hz
    4. D.200 Hz
23. Question 454 marks

    The depletion region of a p-n junction diode in reverse bias

    1. A.becomes narrower
    2. B.becomes wider
    3. C.disappears
    4. D.stays unchanged