Answer the any one question from Q1 & Q1 (e)

1 (a)
What do you understand by wave function, discuss its physical significance?

2 M

1 (b)
State and explain Heisenberg's uncertainty principle. Explain diffraction of electron beam by a single slit to illustrate this principle.

2 M

1 (c)
The uncertainty in measuring the speed of an accelerated electron is 1.2×10

^{5}m/s. Calculate the uncertainty in finding its location, while it is still in motion. Given h=6.626×10^{-34}Js and Mass of electron=9.31×10^{-31}kg.
3 M

1 (d)
What is meant by operators? Obtain an operator for the energy "E", momentum "p" and use them to obtain Schrodinger wave equation.

7 M

1 (e)
Define particle velocity, group velocity and phase velocity and derive the relation between them.

14 M

Answer the any one question from Q2 & Q2 (e)

2 (a)
Explain the difference between interference and diffraction of light.

2 M

2 (b)
State Brewster's law and prove that at Brewster's angle the reflected and refracted rays are perpendicular to each other.

2 M

2 (c)
In Newton's ring experiment the diameter of 15

^{th}dark ring was found to be 0.59 cm and that of the 5^{th}ring was 0.336 cm. If the radius of curvature of plano-convex lens is 100 cm. Calculate the wavelength of light used.
3 M

2 (d)
Explain the formation of Newton's ring in reflected light. Prove that in reflected light \[D_n \propto \sqrt{n}\ and\ D'_n \propto \sqrt{2n+1} \] where D

_{n}and D'_{n}is diameter of dark and bright ring respectively.
7 M

2 (e)
Discuss the phenomena of Fraunhofer diffraction at double slit. Derive the condition for maxima and minima for double slit diffraction pattern.

14 M

Answer the any one question from Q3 & Q3 (e)

3 (a)
Why do we say that the nucleus behaves like a liquid drop?

2 M

3 (b)
What do you understand by mass defect and binding energy with respect to the nucleus?

2 M

3 (c)
The radius of Cyclotron dee's is 40 cm and magnetic field is 1.5 Wb/m

^{2}. What is the maximum kinetic energy of beam of proton accelerated by the Cyclotron? Given mass of proton=1.67×10^{-27}kg and Charge on Proton = 1.6×10^{-19}C.
3 M

3 (d)
Explain construction, principle of working and limitations of LINAC. In LINAC show that the length L

_{n}of the n^{th}drift tube is proportional to √n.
7 M

3 (e)
Discuss the construction and working of Cyclotron with neat diagram. Derive and explain resonance condition.

14 M

Answer the any one question from Q4 & Q4 (e)

4 (a)
Superconductor is a perfect diamagnetic. Explain briefly.

2 M

4 (b)
What is Zener breakdown. Explain briefly

2 M

4 (c)
A n-type semiconductor specimen has Hall coefficient R

_{H}=3.66×10^{-4}m^{3}/C. The conductivity of specimen is found to be 112 ohm^{-1}m^{-1}. Calculate the charge carrier density and electron mobility at room tempertature.
3 M

4 (d)
What is Hall effect? Deduce expression for Hall coefficient and Hall voltage of a solid. What important information's are obtained from its measurement?

7 M

4 (e)
State and explain the terms dielectric polarization and Gauss's law. Derive the interrelationship between E, P and D vectors.

14 M

Answer the any one question from Q5 & Q5 (e)

5 (a)
What is meant by stimulate emission? Explain the basic condition in which stimulated emission dominated.

2 M

5 (b)
Differentiate between Step Index and Graded Index optical fiber cable.

2 M

5 (c)
A glass clad fiber has cladding refractive index 1.49925 and fractional refractive index of 0.0005. Determine the critical internal reflection angle.

3 M

5 (d)
Explain the construction and working of Ruby LASER with necessary energy level diagram.

7 M

5 (e)
Describe the construction of an optical fiber. Explain the principle of propagation of light waves within a fiber. Define acceptance angle, acceptance cone and numerical aperture..

14 M

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