Date: March 2013

The moment of inertia of a thin uniform rod of mass M and length L, about an axis passing through a point, midway between the centre and one end, perpendicular to its length is .....

(a)`48/7ML^2`

(b)`7/48ML^2`

(c)`1/48ML^2`

(d)`1/16ML^2`

Chapter: [0.03] Angular Momentum

'n' droplets of equal size of radius r coalesce to form a bigger drop of radius R. The energy liberated is equal to...................

(T =Surface tension of water)

`(a) 4piR^2T[n^(1/3)-1]`

`(b) 4pir^2T[n^(1/3)-1]`

`(c) 4piR^2T[n^(2/3)-1]`

`(d)4 pir^2T[n^(2/3)-1]`

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

The buckling of a beam is found to be more if ___ .

(a) the breadth of the beam is large.

(b) the beam material has large value of Young's -modulus.

(c) the length of the beam is small.

(d) the depth of the beam is small.·

Chapter: [0.05] Elasticity

When a transverse wave on a string is reflected from the free end, the phase change produced is ..............

(a) zero rad

(b) ` pi/2 ` rad

(c) `(3pi)/4` rad

(d) `pi` rad

Chapter: [0.07] Wave Motion

The number of degrees of freedom for a rigid diatomic molecule is.................

(a) 3

(b) 5

(c) 6

(d) 7

Chapter: [0.04] Oscillations

Two particles perform linear simple harmonic motion along the same path of length 2A and period T as shown in the graph below. The phase difference between them is ___________.

Zero rad

`pi/4` rad

`pi/2` rad

`(3pi)/4` rad

Chapter: [0.04] Oscillations [0.05] Oscillations

The light from the Sun is found to have a maximum intensity near the wavelength of 470 nm. Assuming the surface of the Sun as a black body, the temperature of the Sun is _____________.

[Wien's constant b = 2 .898 x l0^{- 3}mK]

5800 K

6050 K

6166 K

6500 K

Chapter: [0.09] Kinetic Theory of Gases and Radiation

State Kepler's law of orbit and law of equal areas.

Chapter: [0.02] Gravitation

A car of mass 1500Kg rounds a curve of radius 250m at 90 Km/hour. Calculate the centripetal force acting on it.

Chapter: [0.01] Circular Motion

Draw a neat labelled diagram for Ferry's perfectly black body.

Chapter: [0.09] Kinetic Theory of Gases and Radiation

A mass M attached to a spring oscillates with a period of 2 seconds. If the mass is increased by 2 Kg, the eriod increases by 1 second. Find the initial mass, assuming that Hooke's law is obeyed.

Chapter: [0.05] Elasticity

Differentiate between free and forced vibrations .

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

The surface tension of water at 0ºc is 75·5 dyne/cm. Find surface tension of water at 25°C. [ α for water = 0·0021/°C ]

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

Derive the relation between surface tension and surface energy per unit area.

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

A wheel of moment of inertia 1 Kgm^{ 2 }is rotating at a speed of 40 rad/s. Due to friction on the axis, the wheel comes to rest in 10 minutes. Calculate the angular momentum of the wheel, two minutes before it comes to rest.

Chapter: [0.03] Angular Momentum

A particle of mass m, just completes the vertical circular motion. Derive the expression for the difference in tensions at the highest and the lowest points.

Chapter: [0.01] Circular Motion

The Earth is rotating with angular velocity ω about its own axis. R is the radius of the Earth. If Rω^{2} = 0 · 03386 m/ s^{2} , calculate the weight of a body of mass 100 gram at latitude 25°. (g=9·8m/s^{2}).

Chapter: [0.01] Circular Motion

Derive an expression for kinetic energy, when a rigid body is rolling on a horizontal surface without slipping. Hence find kinetic energy for a solid sphere.

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

A steel wire-of diameter 1 x 10^{-3}m is stretched by a force of 20 N. Calculate the strain energy per unit volume.(Y steel= 2 x 1011 N /m^{2})

Chapter: [0.05] Elasticity

Define an ideal simple pendulum.

Chapter: [0.04] Oscillations

Show that, under certain conditions, simple pendulum performs the linear simple harmonic motion.

Chapter: [0.04] Oscillations

A train blows a whistle of frequency 640 Hz in air. Find the difference in apparent frequencies of the whistle for a stationary observer, when the train moves towards and away from the observer with the speed of 72 Km/hour. [Speed of sound in air = 340 m/s.]

Chapter: [0.07] Wave Motion

With a neat labelled diagram, show that all harmonics are present in an air column contained in a pipe open at both the ends. Define end correction.

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

Calculate the kinetic energy of 10 gram of Argon molecules at 127°C.

[Universal gas constant R = 8320 J/k mole K. Atomic weight of Argon = 40]

Chapter: [0.04] Oscillations

In the diffraction pattern due to a single slit of width 'd' with incident light of wavelength 'λ', at an angle of diffraction θ. the condition for first minimum is ....

(a)`lambda sin theta =d`

(b) `d costheta =lambda`

(c)`d sintheta=lambda`

(d) `lambda cos theta=d`

Chapter: [0.11] Interference and Diffraction

Kirchhoff's junction law is equivalent to .............................

(a) conservation of energy.

(b) conservation of charge

(c) conservation of electric potential

(d) conservation of electric flux

Chapter: [0.13] Current Electricity

Let 'p' and 'E' denote the linear momentum and energy of emitted photon respectively. If the wavelength of incident radiation is increased ___ .

(a) both p and E increase

(b) p increases and E decreases

(c) p decreases and E increases

(d) both p and E decrease.

Chapter: [0.09] Kinetic Theory of Gases and Radiation

The nuclei having same number of protons but different number of neutrons are called ___ .

(a) isobars

(b) a-particles

(c) isotopes

(d) y-particles

Chapter: [0.18] Atoms, Molecules and Nuclei

In case of transistor oscillator, to obtain sustained oscillations, the product of voltage gain without feedback and feedback factor should be __________.

zero

less than 1

one

infinity

Chapter: [0.19] Semiconductors

The process of regaining of information from carrier wave at the receiver is called .................

(a) modulation

(b) transmission

(c) propagation

(d) demodulation

Chapter: [0.2] Communication Systems

Reactance of a coil is 157 Ω. On connecting the coil across a source of frequency 100 Hz, the current lags behind e.m.f. by 45°. The inductance of the coil is ...........

(a) 0·25 H

(b) 0·5 H

(c) 4 H

(d) 314H

Chapter: [0.16] Electromagnetic Inductions

Draw a neat labelled diagram of a parallel plate capacitor completely filled with dielectric.

Chapter: [0.12] Electrostatics

A point is situated at 7cm and 7·2 cm from two coherent sources. Find the· nature of illumination at the point if wavelength of light is 4000A.

Chapter: [0.11] Interference and Diffraction

Obtain the expression for current sensitivity of moving coil galvanometer.

Chapter: [0.14] Magnetic Effects of Electric Current

In a cyclotron, magnetic field of 3·5Wb/m2 is used to accelerate protons. What should be the time interval in which the electric field between the Dees be reversed?

(Mass of proton = 1· 67 x 10^{-27}Kg, Charge on proton =1·6x10^{-19}c).

Chapter: [0.14] Magnetic Effects of Electric Current

Define magnetization. State its formula and S.I. unit.

Chapter: [0.15] Magnetism

Electrostatic energy of 3·5 x 10^{-4} J is stored in a capacitor at 700 V. What is the charge on the capacitor?

Chapter: [0.12] Electrostatics

What is space wave propagation?

Chapter: [0.2] Communication Systems

State three components of space wave propagation.

Chapter: [0.2] Communication Systems

Find the value of energy of electron in eV in the third Bohr orbit of hydrogen atom.

(Rydberg's constant (R) = 1· 097 x 10^{7}m ^{- 1},Planck's constant (h) =6·63x10^{-34} J-s,Velocity of light in air (c) = 3 x 10^{8}m/ s.)

Chapter: [0.17] Electrons and Photons

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

A cell balances against a length of 200 cm on a potentiometer wire, when it is shunted by a resistance of 8Ω. The balancing length reduces by 40 cm, when it is shunted by a resistance of 4 Ω . Calculate the balancing length when the cell is in open circuit. Also calculate the internal resistance of the cell.

Chapter: [0.13] Current Electricity

State the law of radioactive decay.

Chapter: [0.15] Structure of Atoms and Nuclei [0.18] Atoms, Molecules and Nuclei

Derive the mathematical expression for law of radioactive decay for a sample of a radioactive nucleus

Chapter: [0.15] Structure of Atoms and Nuclei [0.18] Atoms, Molecules and Nuclei

The photoelectric work function for a metal is 4.2 eV. If the stopping potential is 3V, find the threshold wavelength and maximum kinetic energy of emitted electrons.

(Velocity of light in air = 3 x 10^{8}m/s,

Planck's constant = 6·63 x10^{-34} J -s,

Charg.e ori electron = 1·6 x 10 ^{-19} C)

Chapter: [0.17] Electrons and Photons

State Faraday's laws of electromagnetic induction.

Chapter: [0.16] Electromagnetic Inductions

State Lenz's Law.

Chapter: [0.16] Electromagnetic Inductions

A circular coil of 250 turns and diameter 18 cm carries a current of 12A. What is the magnitude of magnetic moment associated with the coil?

Chapter: [0.14] Magnetic Effects of Electric Current

On the basis of Huygens' wave theory of light prove that velocity of light in a rarer medium is greater than velocity of light in a denser medium.

Chapter: [0.1] Wave Theory of Light

In Young' s experiment the ratio of intensity at the maxima and minima . in the interference pattern is 36 : 16. What is the ratio of the widths of the two slits?

Chapter: [0.11] Interference and Diffraction

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