Date: July 2017

If the angular speed of the earth is 7.26 x 10^{–5} rad/s and radius of the earth is 6,400 km,

calculate the change in weight of 1 kg of mass taken from equator to pole.

Chapter: [0.01] Circular Motion

A small body of mass 0.3 kg oscillates in vertical plane with the help of a string 0.5 m long with a constant speed of 2 m/s. It makes an angle of 60° with the vertical. Calculate tension in the string (g = 9.8 m/s^{2}).

Chapter: [0.05] Elasticity

Two soap bubbles have radii in the ratio 4:3. What is the ratio of work done to blow these bubbles?

Chapter: [0.06] Surface Tension

At what temperature will average kinetic energy of gas be exactly half of its value at N.T.P.?

Chapter: [0.09] Kinetic Theory of Gases and Radiation

Define surface tension and surface energy.

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

Prove that `g_h=g(1-"2h"/R)` where gh is the acceleration due to gravity at altitude h and h << R (R is the radius of the earth).

Chapter: [0.02] Gravitation

Explain the physical significance of radius of gyration

Chapter: [0.03] Angular Momentum

Draw a diagram showing all components of forces acting on a vehicle moving on a curved banked road.

Chapter: [0.01] Circular Motion

Write the necessary equation for maximum safety, speed and state the significance of each term involved in it.

Chapter: [0.01] Circular Motion

Prove Kirchhoff’s law of radiation theoretically.

Chapter: [0.03] Kinetic Theory of Gases and Radiation

Within the elastic limit, find the work done by a stretching force on a wire.

Chapter: [0.05] Elasticity

A set of 12 tuning forks is arranged in order of increasing frequencies. Each fork produces Y beats per second with the previous one. The last is an octave of the first. The fifth fork

has a frequency of 90 Hz. Find Y and frequency of the first and the last tuning forks.

Chapter: [0.07] Wave Motion

A uniform solid sphere has radius 0.2 m and density 8 x 10^{3} kg/m^{3}. Find the moment of

inertia about the tangent to its surface. (π = 3.142)

Chapter: [0.03] Angular Momentum

Define linear simple harmonic motion.

Chapter: [0.05] Oscillations

Assuming the expression for displacement of a particle starting from extreme position, explain graphically the variation of velocity and acceleration w.r.t. time.

Chapter: [0.04] Oscillations

A clock regulated by seconds pendulum, keeps correct time. During summer, length of pendulum increases to 1.005 m. How much will the clock gain or loose in one day?

(g = 9.8 m/s^{2} and π = 3.142)

Chapter: [0.04] Oscillations

Discuss different modes of vibrations in an air column of a pipe open at both the ends.

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

State the cause of end correction.

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

Find the end correction for the pipe open at both the ends in fundamental mode.

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

What should be tension applied to a wire of length 1 m and mass 10 gram, if it has to vibrate with fundamental frequency of 50 Hz?

Chapter: [0.08] Stationary Waves

A body of mass ‘m’ performs uniform circular motion along a circular path of radius ‘r’ with velocity ‘v’. If its angular momentum is L, then the centripetal force acting on it is :

`("mL"^2)/"r"^3`

`"L"^2/("mr")`

`"L"^2/("mr"^2)`

`"L"^2/("mr"^3)`

Chapter: [0.01] Circular Motion

If the Earth completely loses its gravity, then for any body _______.

(A) both mass and weight become zero.

(B) neither mass nor weight become zero.

(C) weight becomes zero but not the mass.

(D) mass becomes zero but not the weight.

Chapter: [0.02] Gravitation

If a rigid body of radius ‘R’ starts from rest and rolls down an inclined plane of inclination

‘θ’ then linear acceleration of body rolling down the plane is _______.

`(gsintheta)/(1+K/R)`

`gsintheta(1+K/R)`

`(gsintheta)/(1+K^2/R^2)`

`gsintheta(1+K^2/R^2)`

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

1000 tiny mercury droplets coalesce to form a bigger drop. In this process, temperature of the drop _______ .

(A) increases

(B) may increase or decrease

(C) decreases

(D) does not change

Chapter: [0.09] Kinetic Theory of Gases and Radiation

Doppler effect is not applicable when _______.

(A) source and observer are at rest.

(B) there is a relative motion between source and observer.

(C) both are moving in opposite directions.

(D) both are moving in same direction with different velocities

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

If the total kinetic energy per unit volume of gas enclosed in a container is E, the pressure exerted by the gas is

(A) E

(B) 3/2 E

(C) `sqrt3E`

(D) 2/3E

Chapter: [0.09] Kinetic Theory of Gases and Radiation

Two wires of the same material have radii rA and rB respectively. The radius of wire A is twice the radius of wire B. If they are stretched by same load then stress on wire B is _______.

equal to that of A

half that of A.

two times that of A.

four times that of A.

Chapter: [0.05] Elasticity

Thorium _{90}Th^{232} is disintegrated into lead _{82}Pb^{200}. Find the number of α and β particles emitted in disintegration.

Chapter: [0.18] Atoms, Molecules and Nuclei

If the work function of a metal is 3 eV, calculate the threshold wavelength of that metal.

(Velocity of light = 3 x 10^{8} m/s, Planck’s constant = 6.63 x 10^{–34} J.s.; 1 eV = 1.6 x 10^{–19} J)

Chapter: [0.17] Electrons and Photons

Three capacitors of capacities 8 μF, 8 μF and 4 μF are connected in a series and potential difference of 120 volt is maintained across the combination. Calculate the charge on capacitor of capacity 4 μF.

Chapter: [0.16] Electromagnetic Inductions

If the total energy of radiation of frequency 10^{14} Hz is 6.63 J, calculate the number of photons in the radiation. (Planck’s constant = 6.63 x 10^{–34} J.s.)

Chapter: [0.17] Electrons and Photons

Distinguish between diamagnetic and paramagnetic substances

Chapter: [0.11] Magnetic Materials [0.15] Magnetism

Draw a neat, labeled diagram showing different layers of the Earth’s atmosphere.

Chapter: [0.2] Communication Systems

Explain the construction of plane wavefront using Huygens’ principle.

Chapter: [0.1] Wave Theory of Light

Obtain an expression for electric field intensity at a point outside uniformly charged thin plane sheet.

Chapter: [0.12] Electrostatics

Write the functions of three segments of a transistor.

Chapter: [0.19] Semiconductors

Draw a circuit diagram for studying the input and output characteristics of a n-p-n transistor in common emitter configuration. Using the circuit, explain how input, output characteristics are obtained

Chapter: [0.19] Semiconductors

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

When a resistance of 12 ohm is connected across a cell, its terminal potential difference is balanced by 120 cm length of potentiometer wire. When the resistance of 18 ohm is connected across the same cell, the balancing length is 150 cm. Find the balancing length when the cell is in open circuit. Also calculate the internal resistance of the cell.

Chapter: [0.13] Current Electricity

Find the ratio of longest wavelength in Paschen series to shortest wavelength in Balmer series.

Chapter: [0.18] Atoms, Molecules and Nuclei

State the principle on which transformer works.

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

Explain transformer working with construction.

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

Derive an expression for e.m.f. and current in terms of turns ratio

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

Find the magnetization of a bar magnet of length 10 cm and cross-sectional area 4 cm^{2}, if the magnetic moment is 2 Am^{2}.

Chapter: [0.15] Magnetism

Derive an expression for path difference in Young’s double slit experiment and obtain the conditions for constructive and destructive interference at a point on the screen.

Chapter: [0.11] Interference and Diffraction

The refractive indices of glass and water w.r.t. air are 3/2 and 4/3 respectively. Determine the refractive index of glass w.r.t. water.

Chapter: [0.1] Wave Theory of Light

The logic gate which produces LOW output when one of the input is HIGH and produces

HIGH output only when all of its inputs are LOW is called _______.

(A) AND gate

(B) OR gate

(C) NOR gate

(D) NAND gate

Chapter: [0.19] Semiconductors

For efficient radiation and reception of signal with wavelength λ, the transmitting antennas would have length comparable to ______.

(A)`lambda` of frequency used

(B)`lambda/2` of frequency used

(C )`lambda/3` of frequency used

(D)`lambda/4` of frequency used

Chapter: [0.2] Communication Systems

Which one of the following particles cannot be accelerated by a cyclotron?

(A) Electrons

(B) Protons

(C) Deuterons

(D) α- particles

Chapter: [0.14] Magnetic Effects of Electric Current

In series LCR circuit at resonance, phase difference between current and e.m.f. of source is ______.

(A) `pi` rad

(B) `pi/2` rad

(C) `pi/4` rad

(D) zero rad

Chapter: [0.16] Electromagnetic Inductions

When unknown resistance is determined by meter bridge, the error due to contact resistance

is minimized ______.

(A) by connecting both the resistances only in one gap.

(B) by interchanging the positions of known and unknown resistance.

(C) by using uniform wire.

(D) by obtaining the null point near the ends of the wire.

Chapter: [0.13] Current Electricity

The ratio of kinetic energy of an electron in Bohr’s orbit to its total energy in the same orbit is

(A) – 1

(B) 2

(C) 1/2

(D) – 0.5

Chapter: [0.18] Atoms, Molecules and Nuclei

Using monochromatic light of wavelength λ in Young’s double slit experiment, the eleventh dark fringe is obtained on the screen for a phase difference of ______.

`11/2 pi` rad

`21/2 pi` rad

`13 pi` rad

`21 pi` rad

Chapter: [0.11] Interference and Diffraction

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