1(a)
What is the physical significance of Heisenberg's uncertainty principle?

2 M

1(b)
Obtain operator value of momentum P.

2 M

1(c)
Explain Compton shift.

3 M

Solve any one question from Q.1(d) &Q.1(e)

1(d)
Derive an expression for time dependent and time independent Schroedinger equation.

7 M

1(e)
What do you understand by group velocity and wave velocity of matter wave? Derive the relation between them.

7 M

2(a)
The central point in Newton's rings seen in reflected light appears dark. Why?

2 M

2(b)
In a Michelson interferometer 200 fringes cross the field of view when the movable mirror is moved through 0589mm. Calculate the wave length of light used.

2 M

2(c)
What do you understand by resolving power of grating? Derive necessary expression.

3 M

Solve any one question from Q.2(d) &Q.2(e)

2(d)
Describe the construction of a nicol prism and show how it can be used as a polarizer or as an analyzer.

7 M

2(e)
On introducing a thin sheet of mica

(thickness = 12×10

(thickness = 12×10

^{-5}cm) in the path os one of the interfering beams in a biprism arrangement. The central fringe is shifted through a distance equal to the spacing between successive bright fringe. Calculate the refractive index of mica(λ=6×10^{-5}cm).
7 M

3(a)
What is the magic about numbers?

2 M

3(b)
Why do we say that a nucleus behave like drop of liquid? What are essential features which are common to a drop of liquid and a nucleus?

2 M

3(c)
Explain the working of GM counter. What are its limitation?

3 M

Solve any one question from Q.3(d) &Q.3(e)

3(d)
Give the construction and working of a betatron. What is betatron condition?

7 M

3(e)
Determine in a cyclotron describe a circle of radius 32m just before emerging from the dees. The frequency of applied e.m.f. is 10MHz. Find the flux density of magnetic field and the velocity of deuterons emerging out of the cyclotron, mass of deuterium=3.32 ×10

^{-27}kg; e=1.6 × 10^{-19}C.
7 M

4(a)
What is Meissner effect?

2 M

4(b)
What are the differences between photo diode and solar cell?

2 M

4(c)
Write a short note on polarizarion of dielectric materials.

3 M

Solve any one question from Q.4(d) &Q.4(e)

4(d)
An electric field of 100V/m is applied to a sample of n-type semiconductor whose Hall-coefficient is - 0.0125m

^{3}/C. Determine the current density in the sample assuming μ_{e}=0.36m^{2}V^{-1}S^{-1}B.
7 M

4(e)
Find the effective mass of electron on the basis of Kronig-Penney model.

7 M

5(a)
What do you understand by spontaneous and stimulated emission?

2 M

5(b)
What is the numerical aperture of an optical fibre cable with a clad index of 1.378 and a core index 1.546?

2 M

5(c)
Explain what do you understand by population inversion. How it is achieved by optical pumping?

3 M

Solve any one question from Q.5(d) &Q.5(e)

5(d)
Describe the construction and working of Ruby laser.

7 M

5(e)
Give a brief classification of optical fibres with their importance and limitation.

7 M

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