1 (a)
Write the assumption of quantum theory of radiation and deduce Rayleigh-Jeans law from Planck's law

5 M

1 (b)
Give four important properties of meter waves

4 M

1 (c)
Set up time independent Schroedinger wave equation in one dimension

7 M

1 (d)
Calculate the energy in eV, for the first excited state of an electron in an infinite potential well of width 2A

4 M

2 (a)
State de Broglie hypothesis and show that the group velocity of the de Broglie waves of a particle is equal to the velocity of the particle

5 M

2 (b)
State and explain Heisenberg uncertainty principle.

5 M

2 (c)
Explain in brief the properties of wave function. If the wave function of particle in an infinite potential box of width 'a' is Ψ=Bsin (n π x/a) where x is the position and it is the quantum number, find B

6 M

2 (d)
The wavelength of fast neutron of mass 1.65× 10

^{-27}kg is 0.02 nm. Calculate the group velocity and the phase velocity of its de Broglie waves
4 M

3 (a)
Obtain an expression for the conductivity of an metal from quantum mechanic considerations

6 M

3 (b)
Show that the Fermi level of an intrinsic semiconductor lines in the middle of the forbidden energy gap.

5 M

3 (c)
Explain the temperature dependence of resistivity of metal and state Matthiessen's rule.

5 M

3 (d)
Calculate the probability of an electron occupying an energy level 0.02 eV above the Fe level at 300k

4 M

4 (a)
Define the terms drift velocity, mean free path mean collision time and relaxation time.

4 M

4 (b)
Explain Hall effect, Arrive at the equation for Hall coefficient in terms of Hall voltage current through the specimen

8 M

4 (c)
Describe Maglev Vehicle

4 M

4 (d)
Calculate the concentration at which the acceptor atoms must be added to a Germanium sample to get a p-type semiconductor with conductivity 0.15 per ohm-meter. Given the mobility of holes=0.17 m

^{2}/Vs
4 M

5 (a)
Derive an expression for the radiant energy density under thermal equilibrium using Einstein's coefficients

7 M

5 (b)
With suitable ray-diagram, explain the principle construction of a holographic images

5 M

5 (c)
Give an account of point to point communication system using optical fibers

4 M

5 (d)
The angle of acceptance of an optical fiber kept in air is 30, find the angle of acceptance when the fiber is in medium of refractive index 4/3

4 M

6 (a)
Discuss the requisites and the conditions for a laser system.

6 M

6 (b)
Define angle of acceptance and numerical aperture. Obtain an expression for the numerical aperture of an optical fiber.

6 M

6 (c)
Explain measurement of pollutant in atmosphere using lasers

4 M

6 (d)
A 5W pulsed laser emits light of wavelength 694 nm. If the duration of each pulse is 20ns, calculate the number of photons emitted per pulse

4 M

7 (a)
Mention the geometrical configuration of the seven crystal system

7 M

7 (b)
Sketch and describe the Perovskite structure

5 M

7 (c)
Derive Bragg's equation

4 M

7 (d)
The atomic radius of gold is 0.144nm. Determine the interplanar distance for (110) plane assuming that gold belongs to FCC system

4 M

8 (a)
With the help of vector diagram explain the terms basis vectors lattice vector, interfacing angles and crystal parameters of a spade lattice.

6 M

8 (b)
Derive an expression for interplanar distance in terms of Miller indices

5 M

8 (c)
Define coordination number and packing factor. Compute the packing factor for BCC crystals

5 M

8 (d)
In a calcite crystal, second order Bragg's reflection occur from planes with d-spacing 3A, at a glancing angle 24°. Calculate the path difference between x-rays reflected from the two adjacent planes. Also calculate the wavelength of the x-rays

4 M

9 (a)
Define shock waves. Mention its properties

6 M

9 (b)
What are nanomaterials? Outline the structure of carbon nano tube.

6 M

9 (c)
What is scanning electron microscope? Mention its three applications

4 M

9 (d)
The distance between the two pressure sensors in a shock tube is 100mm. The time taken by a shock wave to travel this this distance is 200 microsecond. If the velocity of sound under the same conditions is 340m/s, find the Match number of the shock wave

4 M

10 (a)
Define Match number, subsonic waves and supersonic waves

3 M

10 (b)
Discuss the basics of conservation of mass, momentum and energy

9 M

10 (c)
Explain the sol-gel method of preparing nanomaterials

4 M

10 (d)
In a scanning electron microscope, electron are accelerated by an anode potential difference of 60 kilo volt. Estimate the wavelength of the electrons in the scanning beam

4 M

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