Answer the any one question from Q1 & Q2

1 (a)
Explain the concept of wave packet and give Mathematical proof of Heisenberg's uncertainty relation between energy and time.

7 M

1 (b)
Write shrodinger time dependent and Time Independent wave equation. Explain it's physical significance and discuss the term in equation which is related with physical problem.

7 M

2 (a)
An electron is confined in one dimensional square well of length 0.4 × 10

^{-9}m. Find the energy of particle when its Eigen function has four antinodes and show that the particle can never have energy equal to 800 eV. [ Given h=6.63 × 10^{-34}J sec, m=9.13×10^{-31}kg].
6 M

2 (b)
Derive an expression of kinetic energy of recoil electron in compton scattering. Why compton scattering is observed in x-rays, not in visible light waves.

8 M

Answer the any one question from Q3 & Q4

3 (a)
Describe Fresnel Biprism. Discuss the effect of introducing thin mica sheet in the path of one of the interfering beams in a experiment. Deduce the expression for displacement of fringes.

10 M

3 (b)
In a Newton's ring experiment the diameter of 5

^{th}dark ring is reduced to half of its value after placing a liquid between plane. Glass plate and convex surface. Calculate the refractive index of liquid.
4 M

4 (a)
Give construction and theory of plane transmission grating. Obtain an expression for resolving power of plane transmission grating.

10 M

4 (b)
For a calcite, ?

_{??}=1.658 and ?_{?=1.486 for sodium light of ??=5893 A°. Calculate the minimum thickness of quarter wave plate for calcite.}
4 M

Answer the any one question from Q5 & Q6

5 (a)
Mention sailent feature of liquid model and explain various terms given in Bethe-Weizsacker semi-empirical mass formula.

10 M

5 (b)
Give applications and limitations of GM counter.

4 M

6 (a)
Give construction and working of Bainbridge mass spectrograph. If two isotopes of an element with mass m

_{1}and m_{2}enters the mass spectrograph, what will be the ratio of the radii of their paths.
10 M

6 (b)
A cyclotron has magnetic field of 2×10

[1 amv=1.67 × 10

^{4}Gauss and radius of 85 cm. Calculate frequencies of the alternating electric field that must be applied and to what energy proton and electron can be accelerated.[1 amv=1.67 × 10

^{-27}kg, e=1.6×10^{-19}C]
4 M

Answer the any one question from Q7 & Q8

7
Draw periodic potential observed by an electron. Moving in one dimensional crystal lattice. Discuss Kronig-Penney model proposed for periodic potential. Write shrodinger wave equation for such potential and discuss its solution.

14 M

8 (a)
What is Hall effect? Deduce an expression for Hall coefficient of a solid and describe method for its determination experimentally, what important informations are obtained from its measurements?

10 M

8 (b)
A current of 1 ? A flow in a copper strip of length 10 cm and width 5 cm along its length. The strip in placed in a magnetic field of strength 3×10

^{-6}weber/m^{2}perpendicular to its length. If R_{4}=0.55×10^{10}volt-m^{3}/ ampere weber, find the Hall voltage developed in it.
4 M

Answer the any one question from Q9 & Q10

9 (a)
Differentiate between spontaneous and stimulated emission.

4 M

9 (b)
How laser light is different from ordinary light? Discuss the construction and working of HeNe laser or CO

_{2}laser. Write any two characteristics of these lasers.
10 M

10 (a)
Derive an expression for ray dispersion in multimode step index fibers.

6 M

10 (b)
Discuss the attenuation and dispersion in optical fibre.

4 M

10 (c)
Define and explain following terms for an optical fibre.

(i) Propagation modes.

(ii) Normalized frequency.

(i) Propagation modes.

(ii) Normalized frequency.

4 M

More question papers from Engineering Physics