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RGPV First Year Engineering (Set B) (Semester 1)
Engineering Physics
December 2012
Total marks: --
Total time: --
INSTRUCTIONS
(1) Assume appropriate data and state your reasons
(2) Marks are given to the right of every question
(3) Draw neat diagrams wherever necessary

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 5th 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 m1 and m2 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 2×104 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/m2 perpendicular to its length. If R4=0.55×1010 volt-m3/ 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 CO2 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.
4 M

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