Obtain an expression for total kinetic energy of a rolling body in the form

`1/2 (MV^2)[1+K^2/R^2]`

Concept: Definition of M.I., K.E. of Rotating Body

With the help of a neat labelled diagram, describe the Geiger- Marsden experiment

Concept: Alpha-particle Scattering and Rutherford’S Nuclear Model of Atom

The photoelectric work function for a metal surface is 2.3 eV. If the light of wavelength 6800A is incident on the surface of metal, find threshold frequency and incident frequency. Will there be an emission of photoelectrons or not?

[Velocity of light c = 3 x 10^{8} m/s,

Planck’s constant, h = 6.63 * 10^{-34} Js ]

Concept: Photoelectric Effect - Hertz’S Observations

The kinetic energy of a rotating body depends upon................

- distribution of mass only.
- angular speed only.
- distribution of mass and angular speed.
- angular acceleration only.

Concept: Definition of M.I., K.E. of Rotating Body

The dimensions of universal gravitational constant are........................

a. [L^{1}M^{0}T^{0}]

b. [L^{2}M^{1}T^{0}]

c. [L^{-1}M^{1}T^{-2}]

d. [L^{3}M^{-1}T^{-2}]

Concept: Newton’s Law of Gravitation

Calculate the period of revolution of Jupiter around the Sun. The ratio of the radius of Jupiter’s orbit to that of the Earth’s orbit is 5.

(Period of revolution of the Earth is 1 year)

Concept: Newton’s Law of Gravitation

Electric field intensity in free space at a distance ‘r’ outside the charged conducting sphere of radius ‘R’ in terms of surface charge density ‘ a ’ is............................

(a)`sigma / in_0[R/r]^2`

(b)`in_0/sigma[R/r]^2`

(c)`R/r[sigma/in_0]^2`

(d)`R/sigma[r/in_0]^2`

Concept: Electromagnetic Induction

Draw a block diagram of generalized communication system.

Concept: Elements of a Communication System

The magnetic flux through a loop varies according to the relation Φ = 8t^{2} + 6t + C, where ‘C’ is constant, 'Φ' is in milliweber and 't' is in second. What is the magnitude of induced e.m.f. in the loop at t = 2 seconds.

Concept: Electromagnetic Induction

A seconds pendulum is suspended in an elevator moving with constant speed in downward direction. The periodic time (T) of that pendulum is _______.

Concept: Periodic and Oscillatory Motions

The periodic time of a linear harmonic oscillator is 2π second, with maximum displacement of 1 cm. If the particle starts from extreme position, find the displacement of the particle after π/3 seconds.

Concept: Periodic and Oscillatory Motions

Show that all harmonics are present on a stretched string between two rigid supports.

Concept: Study of Vibrations in a Finite Medium

The photoelectric current in a photoelectric cell can be reduced to zero by a stopping potential of 1.8 volt. Monochromatic light of wavelength 2200Å is incident on the cathode. Find the maximum kinetic energy of the photoelectrons in joules. [Charge on electron = 1.6 x 10^{-19} C]

Concept: Photoelectric Effect - Hertz’S Observations

Ionosphere mainly consists of _______.

Concept: Elements of a Communication System

Draw a neat labelled circuit diagram of experimental arrangement for study of photoelectric effect.

Concept: Photoelectric Effect - Hertz’S Observations

A parallel beam of monochromatic light is incident on a glass slab at an angle of incidence 60^{o}. Find the ratio of width of the beam in the glass to that in the air if refractive index of glass is 3/2.

Concept: Interference of Light

A 36 cm long sonometer wire vibrates with frequency of 280 Hz in fundamental mode, when it is under tension of 24.5 N. Calculate linear density of the material of wire.

Concept: Applications of Gauss’s Law

The co-efficient of reflection of an opaque body is 0.16. Its co-efficient of emission is ........................................

- 0.94
- 0.84
- 0.74
- 0.64

Concept: Interference of Light

Draw neat, labelled diagrams for the modes of vibration of a stretched string in second harmonic and third harmonic.

Concept: Study of Vibrations in a Finite Medium

Explain the formation of energy band diagram in case of conductor and semiconductor.

Concept: Energy Bands in Solids