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 1.2×105 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 15th dark ring was found to be 0.59 cm and that of the 5th 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 Dn 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/m2. 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 Ln of the nth 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 RH=3.66×10-4 m3/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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