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A

Group 'A'

Attempt All questions. Tick the correct answer.

11 questions·1 marks each
1mcq1 marks

If L represents linear momentum, I represents moment of inertia, then L22I\dfrac{L^2}{2I} is

  • a

    Rotational kinetic energy

  • b

    Torque

  • c

    Power

  • d

    Potential energy

rotational-motion
2mcq1 marks

What is moment of inertia of a solid sphere?

  • a

    MR22\frac{MR^2}{2}

  • b

    23MR2\frac{2}{3}MR^2

  • c

    25MR2\frac{2}{5}MR^2

  • d

    MR2MR^2

moment-of-inertia
3mcq1 marks

For a body undergoing rotational motion, its radius of gyration depends on

  • a

    size

  • b

    shape

  • c

    axis of rotation

  • d

    all

rotational-motionradius-of-gyration
4mcq1 marks

If one mole of an ideal gas at STP is heated through 1K, work done by gas in heat unit will be

  • a

    1.98cal1.98\,\text{cal}

  • b

    8.31cal8.31\,\text{cal}

  • c

    0.831cal0.831\,\text{cal}

  • d

    83.1cal83.1\,\text{cal}

thermodynamicsideal-gas
5mcq1 marks

Which of the following is a universal constant?

  • a

    CpCv\frac{C_p}{C_v}

  • b

    Cp+CvC_p + C_v

  • c

    CpCvC_p - C_v

  • d

    CvCp\frac{C_v}{C_p}

thermodynamicsspecific-heat
6mcq1 marks

Velocity of sound in gas is independent of

  • a

    Pressure

  • b

    Temperature

  • c

    Humidity

  • d

    Nature of gas

soundwaves
7mcq1 marks

The ratio of sound in hydrogen gas (γ=75)\left(\gamma = \dfrac{7}{5}\right) to that in Helium gas (γ=53)\left(\gamma = \dfrac{5}{3}\right) at the same temperature is

  • a

    21:5\sqrt{21}:5

  • b

    1:11:1

  • c

    42:5\sqrt{42}:5

  • d

    2:12:1

soundwaves
8mcq1 marks

In which one of the following diagrams the currents are related by the equations I1I2=I3I4I_1 - I_2 = I_3 - I_4?

Each option is a junction diagram of four currents I1,I2,I3,I4I_1, I_2, I_3, I_4:

  • a) Junction diagram option a
  • b) Junction diagram option b
  • c) Junction diagram option c
  • d) Junction diagram option d
  • a
  • b
  • c
  • d
current-electricitykirchhoff
9mcq1 marks

When the current flowing in a circular coil is doubled and the number of turns of the coil in it is halved, the magnetic field at its center will become

  • a

    same

  • b

    four times

  • c

    half

  • d

    double

magnetismmagnetic-field
10mcq1 marks

The galvanometer has resistance of 25Ω and has maximum current can be passed through it 0.01A. In order to change into an ammeter of range 10A, the shunt required is

  • a

    5999Ω\frac{5}{999}\,\Omega

  • b

    10999Ω\frac{10}{999}\,\Omega

  • c

    20999Ω\frac{20}{999}\,\Omega

  • d

    25999Ω\frac{25}{999}\,\Omega

current-electricitygalvanometershunt
11mcq1 marks

If the frequency of light in a photoelectric experiment is doubled, the stopping potential will be

  • a

    doubled

  • b

    halved

  • c

    more than double

  • d

    less than double

photoelectric-effect
B

Group 'B'

Attempt All questions.

9 questions·5 marks each
12ashort2 marks

Suppose that only two external forces act on rigid body and two forces are equal in magnitude but opposite in direction. Under what condition will the body rotate?

rotational-motiontorque
12bshort3 marks

If the earth contracts to half its radius, what would be the length of the day?

rotational-motionangular-momentum
13short5 marks

a. State principle of conservation of angular momentum? (1)

b. A disc of moment of inertia 5×104kg m25\times10^{-4}\,\text{kg m}^2 is rotating freely about the axis through its center at 40 rpm. Calculate the new revolution per minute if some wax of mass 0.02 kg is dropped gently on the disc 0.08 m from the axis. (3)

c. On what factor does moment of inertia depend? (1)

rotational-motionangular-momentummoment-of-inertia
14short5 marks

a. How can you justify first law of thermodynamics obeys principle of conservation of energy? (1)

b. If a thermodynamic process starts from A and comes to A using path 1 and 2 as shown by arrows, does the net work done become zero? If not explain. (See PV diagram showing a cyclic process A→A via paths 1 and 2.)

PV diagram of a cyclic process between A and B via paths 1 and 2

c. In adiabatic process, no heat is exchanged but work is done, does it mean that adiabatic process violates first law of thermodynamics? (2)

thermodynamicsfirst-law
15short5 marks

Study the given progressive wave (a graph of a transverse wave from O to A with amplitude 'a' shown).

Graph of a progressive transverse wave from O to A with amplitude a

a. What is 'a' named? (1)

b. If the wave travels from O to A in 2s, find the frequency of the wave. (2)

c. For a=π, find the maximum particle velocity for given condition in b. (2)

wavesprogressive-wave
16short5 marks

In a current carrying circular coil,

a. What is the magnetic field at a point on the axis of coil where the point is at distance 'x' from centre of coil whose radius is 'a'? (1)

b. What would be the magnetic field at centre and axis distance a2\dfrac{a}{2} from centre where 'a' is radius of circular coil. (2)

c. Why perpendicular components of field on axis are not considered in calculation of net magnetic field? (2)

magnetismmagnetic-fieldcircular-coil
17short5 marks

Show the direction of motion of charge particle in uniform magnetic field for the following cases. Also, write the force experienced by charge particles in each of cases:

a. A negative charge particle enters a field acted perpendicularly inward to plane of paper. (2)

b. A positive charge particle enters the field acting perpendicularly outward from plane of paper. (2)

c. If any charge particle moves parallel or antiparallel to magnetic field. (1)

magnetismlorentz-force
18short5 marks

a. What is cross field? What is the speed of electron in a cross field when to magnetic field intensity 'B' is same region simultaneously. (1+1)

b. In a Thomson experiment, voltage across the plates is 50V and distance between them is 3cm. The magnetic field applied to make the beam undeflected is 10410^{-4} T, what is the velocity of electron passing between the plates. (3)

electronthomson-experimentcross-field
19short5 marks

a. What is threshold frequency? Does it depend upon the intensity of incident light? (1+1)

b. Discuss Einstein's photoelectric equation. (3)

photoelectric-effect
C

Group 'C'

Answer the following questions.

3 questions·8 marks each
20long8 marks

The speed of sound derived from Newton's formula was corrected by Laplace to determine correct value of speed of sound.

a. What thermodynamic process did Laplace assume to overcome the discrepancy of Newton's formula? What mechanism occurred in gas during propagation of sound? Describe. (3)

b. Describe the expression for Laplace correction of speed of sound. (3)

c. At what temperature, the speed of sound is increased by 50% than that at 27°C? (2)

OR

a. Differentiate wave front and wavelet? (1)

b. Can Snell's law be verified from wave theory? Explain with figure only. (3)

c. Prove the laws of reflection of light using wave theory of light. (4)

soundlaplace-correction
21long8 marks

a. State Wheat Stone bridge principle. (1)

b. Deduce Wheatstone bridge principle for balanced condition. (3)

c. In the adjacent circuit find:

i. the current in resistor R (1)

ii. resistance R (1)

iii. unknown emf ε (1)

iv. if the circuit is broken at P, what is the current in resistor R? (1)

Circuit with E1=28V, resistor R, emf E at P, 6Ω with 4A, and 3Ω with 6A

current-electricitywheatstone-bridgekirchhoff
22long8 marks

a. The value of em\dfrac{e}{m} is constant for cathode rays but not for positive rays, why? (2)

b. What is quantization of charge? Describe the theory of Millikan's oil drop experiment to determine the number of charges on an oil drop? (1+3)

c. An ion for which the charge per unit mass is 4.40×1074.40\times10^{7} C/kg has velocity of 3.52×1053.52\times10^{5} m/s and moves in a circular orbit in magnetic field of flux density 0.4T. What will be the radius of this orbit? (2)

electronmillikanspecific-charge