Date & Time: 4th March 2017, 11:00 am

Duration: 3h

**Choose the correct option.**

If the pressure of an ideal gas decreases by 10% isothermally, then its volume will _______.

decrease by 9%

increase by 9%

decrease by 10%

increase by 11.11%

Chapter: [0.03] Kinetic Theory of Gases and Radiation

Stretching of a rubber band results in _______.

(A) no change in potential energy.

(B) zero value of potential energy.

(C) increase in potential energy.

(D) decrease in potential energy.

Chapter: [0.05] Elasticity

When the angular acceleration of a rotating body is zero, which physical quantity will be equal to zero?

(A) Angular momentum

(B) Moment of inertia

(C) Torque

(D) Radius of gyration

Chapter: [0.01] Circular Motion

In a damped harmonic oscillator, periodic oscillations have _______ amplitude.

(A) gradually increasing

(B) suddenly increasing

(C) suddenly decreasing

(D) gradually decreasing

Chapter: [0.04] Oscillations

A sine wave of wavelength λ is travelling in a medium. What is the minimum distance between two particles of the medium which always have the same speed?

(A)`lambda`

(B)`lambda/2`

(C)`lambda/3`

(D)`lambda/4`

Chapter: [0.07] Wave Motion

Velocity of transverse wave along a stretched string is proportional to _______. (T = tension

in the string)

(A) `sqrtT`

(B) `T`

(C) `1/sqrtT`

(D) `1/T`

Chapter: [0.05] Elasticity

Find the wavelength at which a black body radiates maximum energy, if its temperature is 427°C.

(Wein’s constant b = 2.898 × 10^{-3} mK)

(A) 0.0414 × 10^{-6}m

(B) 4.14 × 10^{-6}m

(C) 41.4 × 10^{-6}m

(D) 414 × 10^{-6}m

Chapter: [0.09] Kinetic Theory of Gases and Radiation

Explain the concept of centripetal force.

Chapter: [0.01] Circular Motion

Prove that root mean square velocity of gas molecule is directly proportional to the square root of its absolute temperature.

Chapter: [0.09] Kinetic Theory of Gases and Radiation

Obtain the differential equation of linear simple harmonic motion.

Chapter: [0.04] Oscillations [0.05] Oscillations

Draw a neat, labelled diagram for a liquid surface in contact with a solid, when the angle of contact is acute.

Chapter: [0.06] Surface Tension

A hole is drilled half way to the centre of the Earth. A body is dropped into the hole. How much will it weigh at the bottom of the hole if the weight of the body on the Earth’s surface is 350 N?

Chapter: [0.02] Gravitation

A solid sphere of mass 1 kg rolls on a table with linear speed 2 m/s, find its total kinetic energy.

Chapter: [0.01] Rotational Dynamics [0.03] Angular Momentum

A transverse wave is produced on a stretched string 0.9 m long and fixed at its ends. Find the speed of the transverse wave, when the string vibrates while emitting the second overtone of frequency 324 Hz.

Chapter: [0.07] Wave Motion

A body cools at the rate of 0.5°C / minute when it is 25° C above the surroundings. Calculate the rate of cooling when it is 15°C above the same surroundings.

Chapter: [0.09] Kinetic Theory of Gases and Radiation

Show that period of a satellite revolving around the Earth depends upon mass of the Earth.

Chapter: [0.02] Gravitation

Obtain an expression for torque acting on a rotating body with constant angular acceleration. Hence state the dimensions and SI unit of torque.

Chapter: [0.01] Rotational Dynamics [0.03] Angular Momentum

The total energy of free surface of a liquid drop is 2π times the surface tension of the liquid. What is the diameter of the drop? (Assume all terms in SI unit).

Chapter: [0.02] Mechanical Properties of Fluids [0.06] Surface Tension

A vehicle is moving on a circular track whose surface is inclined towards the horizon at an angle of 10°. The maximum velocity with which it can move safely is 36 km / hr. Calculate the length of the circular track. [π = 3.142]

Chapter: [0.01] Circular Motion

Prove the law of conservation of energy for a particle performing simple harmonic motion.Hence graphically show the variation of kinetic energy and potential energy w. r. t. instantaneous displacement.

Chapter: [0.04] Oscillations

Two sound notes have wavelengths 83/170 m and 83/172 m in the air. These notes when sounded together produce 8 beats per second. Calculate the velocity of sound in the air and frequencies of the two notes.

Chapter: [0.06] Superposition of Waves [0.08] Stationary Waves

Explain analytically how the stationary waves are formed

Chapter: [0.08] Stationary Waves

Show the formation of stationary waves diagramatically

Chapter: [0.08] Stationary Waves

A mass of 1 kg is hung from a steel wire if radius 0.5 mm and length 4 m. Calculate the extension produced. What should be the area of cross-section of the wire so that elastic limit is not exceeded? Change in radius is negligible

(Given : g = 9.8 m/s^{2;} Elastic limit of steel is 2.4 x 10^{8} N/m^{2};Y for steel (Ysteel) = 20 x 10^{10} N/m^{2}; π = 3.142)

Chapter: [0.05] Elasticity

If A.C. voltage is applied to a pure capacitor, then voltage across the capacitor _____________.

leads the current by phase angle (π/2) rad.

leads the current by phase angle π rad.

lags behind the current by phase angle (π/2) rad.

lags behind the current by phase angle π rad.

Chapter: [0.16] Electromagnetic Inductions

In Doppler effect of light, the term “red shift” is used for ______.

(A) frequency increase

(B) frequency decrease

(C) wavelength decrease

(D) frequency and wavelength increase

Chapter: [0.06] Superposition of Waves [0.07] Wave Motion [0.1] Wave Theory of Light

If a watch-glass containing a small quantity of water is placed on two dissimilar magnetic poles, then water ______.

shows a depression in the middle.

shows an elevation in the middle.

surface remains horizontal.

evaporates immediately.

Chapter: [0.14] Magnetic Effects of Electric Current

Any device that converts one form of energy into another is termed as ______.

(A) amplifier

(B) transducer

(C) receiver

(D) demodulator

Chapter: [0.2] Communication Systems

When a p-n-p transistor is operated in saturation region, then its ______.

(A) base-emitter junction is forward biased and base-collector junction is reverse biased.

(B) both base-emitter and base-collector junctions are reverse biased.

(C) both base-emitter and base-collector junctions are forward biased.

(D) base-emitter junction is reverse biased and base-collector junction is forward biased

Chapter: [0.19] Semiconductors

In a photon-electron collision ______.

(A) only total energy is conserved.

(B) only total momentum is conserved.

(C) both total energy and total momentum are conserved.

(D) both total momentum and total energy are not conserved

Chapter: [0.18] Atoms, Molecules and Nuclei

If the charge on the condenser of 10°F is doubled, then the energy stored in it becomes __________

zero

twice that of initial energy

half the initial energy

four times the initial energy

Chapter: [0.19] Semiconductors

Distinguish between the phenomenon of interference and diffraction of light.

Chapter: [0.11] Interference and Diffraction

Explain how moving coil galvanometer is converted into a voltmeter. Derive the necessary formula.

Chapter: [0.14] Magnetic Effects of Electric Current

State the advantages of potentiometer over voltmeter.

Chapter: [0.13] Current Electricity

Draw a neat, labelled block diagram of a receiver for the detection of amplitude modulated wave.

Chapter: [0.2] Communication Systems

A rectangular coil of a moving coil galvanometer contains 100 turns, each having area

15 cm^{2}. It is suspended in the radial magnetic field 0.03 T. The twist constant of suspension

fibre is 15 x 10^{-10} N-m/degree. Calculate the sensitivity of the moving coil galvanometer.

Chapter: [0.14] Magnetic Effects of Electric Current

The magnetic flux through a loop is varying according to a relation `phi = 6t^2 + 7t + 1` where `phi` is in milliweber and t is in second. What is the e.m.f. induced in the loop at t = 2 second?

Chapter: [0.12] Electromagnetic Induction [0.16] Electromagnetic Inductions

An unknown resistance is placed in the left gap and resistance of 50 ohm is placed in the right gap of a meter bridge. The null point is obtained at 40 cm from the left end. Determine the unknown resistance.

Chapter: [0.13] Current Electricity

Find the frequency of revolution of an electron in Bohr’s 2nd orbit; if the radius and speed of electron in that orbit is 2.14 × 10^{-10} m and 1.09 × 10^{6} m/s respectively. [π= 3.142]

Chapter: [0.18] Atoms, Molecules and Nuclei

With the help of neat labelled circuit diagram explain the working of half wave rectifier using semiconductor diode. Draw the input and output waveforms.

Chapter: [0.19] Semiconductors

Explain self induction and mutual induction

Chapter: [0.12] Electromagnetic Induction [0.16] Electromagnetic Inductions

A cube of marble having each side 1 cm is kept in an electric field of intensity 300 V/m. Determine the energy contained in the cube of dielectric constant 8. [Given : ∈_{0} = 8.85 10^{–12} C^2/Nm^2]

Chapter: [0.12] Electrostatics

An electron in an atom revolves around the nucleus in an orbit of radius 0.53 Å. If the frequency of revolution of an electron is 9 x10^{9} MHz, calculate the orbital angular momentum

[Given : Charge on an electron = 1.6 x 10^{–19} C; Gyromagnetic ratio = 8.8 x 10^{10} C/kg; π = 3.142]

Chapter: [0.15] Magnetism

Describe biprism experiment to calculate the wavelength of a monochormatic light. Draw the necessary ray diagram.

Chapter: [0.11] Interference and Diffraction

The width of plane incident wavefront is found to be doubled on refraction in denser medium. If it makes an angle of 65° medium. with the normal, calculate the refractive index for the denser medium.

Chapter: [0.11] Interference and Diffraction

Draw a neat, labelled energy level diagram for H atom showing the transitions. Explain the series of spectral lines for H atom, whose fixed inner orbit numbers are 3 and 4 respectively.

Chapter: [0.18] Atoms, Molecules and Nuclei

The work functions for potassium and caesium are 2.25 eV and 2.14 eV respectively. Is the photoelectric effect possible for either of them if the incident wavelength is 5180 Å?

[Given : Planck’s constant = 6.63 x 10^{–34} J.s.;

Velocity of light = 3 x 10^{8} m/s; 1 eV = 1.6 x 10^{–19} J]

Chapter: [0.17] Electrons and Photons

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