Date: March 2014

Explain the rise of liquid in the capillary on the basis of pressure difference.

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

Show graphical representation of energy distribution spectrum of perfectly black body.

Chapter: [0.09] Kinetic Theory of Gases and Radiation

The escape velocity of a body from the surface of the earth is 11.2 km/s. If a satellite were to orbit close to the surface, what would be its critical velocity?

Chapter: [0.02] Gravitation

A pipe which is open at both ends is 47 cm long and has an inner diameter 5 cm. If the speed of sound in air is 348 m/s, calculate the fundamental frequency of air column in that pipe.

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

Show that R.M.S. velocity of gas molecules is directly proportional to square root of its absolute temperature.

Chapter: [0.09] Kinetic Theory of Gases and Radiation

For a particle performing uniform circular motion `vecv=vecomegaxxvecr`obtain an expression for linear acceleration of the particle performing non-uniform circular motion.

Chapter: [0.01] Circular Motion

A stone of mass 1 kg is whirled in horizontal circle attached at the end of a 1 m long string. If the string makes an angle of 30^{º} with vertical, calculate the centripetal force acting on the stone.(g=9.8m/s^{2}).

Chapter: [0.01] Circular Motion

A solid cylinder of uniform density of radius 2 cm has mass of 50 g. If its length is 12 cm, calculate its moment of inertia about an axis passing through its centre and perpendicular to its length.

Chapter: [0.03] Angular Momentum

Derive an expression for acceleration due to gravity at depth ‘d’ below the earth’s surface.

Chapter: [0.02] Gravitation

A copper metal cube has each side of length 1 m. The bottom edge of the cube is fixed and tangential force 4.2x10^{8} N is applied to a top surface. Calculate the lateral displacement of the top surface if modulus of rigidity of copper is 14x10^{10} N/m^{2}.

Chapter: [0.04] Oscillations [0.05] Oscillations

State an expression for K. E. (kinetic energy) and P. E. (potential energy) at displacement ‘x’ for a particle performing linear S.H. M. Represent them graphically. Find the displacement at which K. E. is equal to P. E.

Chapter: [0.04] Oscillations

The equation of simple harmonic progressive wave is given by `y=0.05sinpi[20t-x/6]` where all quantities are in S. I. units. Calculate the displacement of a particle at 5 m from origin and at the instant 0.1 second.

Chapter: [0.07] Wave Motion

State the theorem of parallel axes about moment of inertia.

Chapter: [0.03] Angular Momentum

Prove the theorem of parallel axes about moment of inertia

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

Calculate the density of paraffin oil, if glass capillary of diameter 0.25 mm dipped in paraffin oil of surface tension 0.0245 N/m rises to a height of 4 cm. (Angle of contact of paraffin with glass = 28^{°} and acceleration due to gravity = 9.8 m/s^{2}.)

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

A wire of density ‘ρ’ and Young’s modulus ‘Y’ is stretched between two rigid supports separated by a distance ‘L’ under tension ‘T’. Derive an expression for its frequency in fundamental mode. Hence show that `n=1/(2L)sqrt((Yl)/(rhoL))` where symbols have their usual meanings

Chapter: [0.07] Wave Motion

When the length of a simple pendulum is decreased by 20 cm, the period changes by 10%. Find the original length of the pendulum.

Chapter: [0.04] Oscillations

The bulging of earth at the equator and flattening at the poles is due to _______.

Centripetal Force

Centrifugal Force

Gravitational Force

Electrostatic Force

Chapter: [0.01] Circular Motion

Young’s modulus of material of wire is ‘Y’ and strain energy per unit volume is ‘E’, then the strain is

(A) `sqrtY/(2E)`

(B) `sqrt(E/Y)`

(C) `sqrt((2E)/Y)`

(D) `sqrt(2EY)`

Chapter: [0.05] Elasticity

The wavelength range of thermal radiation is

(A) from 4000 Å to 7000 Å

(B) from 7700 Å to 4 x 10^{6} Å

(C) from 106 Å to 10^{8} Å

(D) from 4 x 10^{-12} Å to 4 x 108 Å

Chapter: [0.09] Kinetic Theory of Gases and Radiation

A pipe open at both ends resonates to a frequency ‘n_{1}’ and a pipe closed at one end resonates to a frequency ‘n_{2}’. If they are joined to form a pipe closed at one end, then the fundamental frequency will be ______.

(A) `(n_1n_2)/(2n_2+n_1)`

(B) `(2n_2n_1)/(2n_2+n_1)`

(C) `(2n_2n_1)/(n_1+n_2)`

(D) `(n_2+2n_1)/(n_1n_2)`

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

The phase difference between displacement and acceleration of a particle performing S.H.M. is _______.

(A) `pi/2rad`

(B) π rad

(C) 2π rad

(D)`(3pi)/2rad`

Chapter: [0.04] Oscillations

Let n_{1} and n_{2} be the two slightly different frequencies of two sound waves. The time interval between waxing and immediate next waning is ______.

(A) `1/(n_1-n_2)`

(B) `2/(n_1-n_2)`

(C) `(n_1-n_2)/2`

(D) `1/(2(n_1-n_2))`

Chapter: [0.07] Wave Motion

A metal ball cools from 64 ^{°}C to 50 ^{°}C in 10 minutes and to 42 ^{°}C in next 10 minutes. The ratio of rates of fall of temperature during the two intervals is _______.

`4/7`

`7/4`

2

2.5

Chapter: [0.09] Kinetic Theory of Gases and Radiation

Show that the orbital magnetic dipole moment of a revolving electron is `(eVr)/2`

Chapter: [0.15] Magnetism

Describe the construction of photoelectric cell.

Chapter: [0.18] Atoms, Molecules and Nuclei

For a glass plate as a polariser with refractive index 1.633, calculate the angle of incidence at which light is polarised.

Chapter: [0.1] Wave Theory of Light

The susceptibility of magnesium at 300 K is 2.4 x 10^{-5}. At what temperature will the susceptibility increase to 3.6 x 10^{-5}?

Chapter: [0.09] Kinetic Theory of Gases and Radiation

Draw a neat labelled diagram for Davisson and Germer experiment, for diffraction of electron wave.

Chapter: [0.18] Atoms, Molecules and Nuclei

Write the functions of the following in communication systems:

Transmitter

Chapter: [0.2] Communication Systems

Write the functions of the following in communication systems:

Receiver

Chapter: [0.2] Communication Systems

A metal rod `1/sqrtpi `m long rotates about one of its ends perpendicular to a plane whose magnetic induction is 4 x 10^{-3} T. Calculate the number of revolutions made by the rod per second if the e.m.f. induced between the ends of the rod is 16 mV.

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

Find the wave number of a photon having energy of 2.072 eV

Given : Charge on electron = 1.6 x 10^{-19} C,

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

Planck’s constant = 6.63 x 10^{-34} J-s.

Chapter: [0.17] Electrons and Photons

State Ampere’s circuital law.

Chapter: [0.14] Magnetic Effects of Electric Current

Obtain an expression for magnetic induction along the axis of the toroid.

Chapter: [0.14] Magnetic Effects of Electric Current

Calculate the radius of second Bohr orbit in hydrogen atom from the given data.

Mass of electron = 9.1 x 10^{-31}kg

Charge on the electron = 1.6 x 10^{-19} C

Planck’s constant = 6.63 x 10^{-34} J-s.

Permittivity of free space = 8.85 x 10^{-12} C^{2}/Nm^{2}

Chapter: [0.18] Atoms, Molecules and Nuclei

Explain the working of P-N junction diode in forward and reverse biased mode.

Chapter: [0.19] Semiconductors

A network of four capacitors of 6 μF each is connected to a 240 V supply. Determine the charge on each capacitor.

Chapter: [0.12] Electrostatics

Describe biprism experiment to find the wavelength of monochromatic light. Draw the necessary ray diagram for magnified and diminished images of virtual sources.

Chapter: [0.11] Interference and Diffraction

If the difference in velocities of light in glass and water is 2.7 x 10^{7} m/s, find the velocity of light in air. (Refractive index of glass = 1.5, Refractive index of water = 1.333)

Chapter: [0.01] Circular Motion

Explain transformer working with construction.

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

State the principle on which transformer works.

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

Derive an expression for ratio of e.m.f.s and currents in terms of number of turns in primary and secondary coil.

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

Two diametrically opposite points of a metal ring are connected to two terminals of the left gap of meter bridge. The resistance of 11 Ω is connected in right gap. If null point is obtained at a distance of 45 cm from the left end, find the resistance of metal ring.

Chapter: [0.13] Current Electricity

Intensity of electric field at a point close to and outside a charged conducting cylinder is proportional to ______. (r is the distance of a point from the axis of cylinder)

(A) `1/r`

(B) `1/r^2`

(C) `1/r^3`

(D) r^{3}

Chapter: [0.12] Electrostatics

When a hole is produced in P-type semiconductor, there is _______.

extra electron in valence band.

extra electron in conduction band.

missing electron in valence band.

missing electron in conduction band.

Chapter: [0.19] Semiconductors

The outermost layer of the earth’s atmosphere is _______.

(A) stratosphere

(B) mesospher

(C) troposphere

(D) ionosphere

Chapter: [0.2] Communication Systems

Accuracy of potentiometer can be easily increased by ______

(A) increasing resistance of wire

(B) decreasing resistance of wire

(C) increasing the length of wire

(D) decreasing the length of wire

Chapter: [0.13] Current Electricity

When electron in hydrogen atom jumps from second orbit to first orbit, the wavelength of radiation emitted is λ. When electron jumps from third orbit to first orbit, the wavelength of emitted radiation would be _______.

(A)`27/32lambda`

(B)`32/27lambda`

(C)`2/3lambda`

(D)`3/2lambda`

Chapter: [0.09] Kinetic Theory of Gases and Radiation

An ideal voltmeter has _______.

(A) low resistance

(b) high resistance

(C) infinite resistance

(D) zero resistance

Chapter: [0.09] Current Electricity [0.14] Magnetic Effects of Electric Current

The resolving power of telescope of aperture 100 cm for light of wavelength 5.5 x 10^{-7} m is _______________.

0.149 x 10^{7}

1.49 x 10^{7}

14.9 x 10^{7}

149 x 10^{7}

Chapter: [0.11] Interference and Diffraction

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