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


1(a) What are the properties of matter waves?
4 M
1(b) Set up the time independent Schrodinger wave equation.
6 M
1(c) Define group velocity and phase velocity and phase velocity. Derive an expressionfor group velocity interms of phase velocity.
6 M
1(d) In a measurement that involved an inherent uncertainty of 0.003percentage, the speed of an electron was found to be 800m/s. Calculate the corresponding uncertainty involved in determining its position.
4 M

2(a) Obtain the solution of Schrodinger wave equation for a particle in a box of infinite height.
7 M
2(b) State and explain the physical significance of Heisenberg's uncertainty principle.
3 M
2(c) Discuss the black body radiation spectrum.
6 M
2(d) A particle of mass 0.5 MeV/C2 has kinetic energy of 100eV. Find its deBroglie wavelength where C is the velocity of light.
4 M

3(a) What are the assumption of classical free electron theory? Explain its failures (any two)
6 M
3(b) Explain the types of super conductors.
4 M
3(c) What is the law of mass action? Exlain the electrical conductivity in semiconductors.
6 M
3(d) Calculate the Fermi velocity and mean free path for conduction electrons in Aluminium,given that its Fermi energy is 11.63eV and relaxation time for electrons is 7.3×10-15sec.
4 M

4(a) Discuss the dependence of Fermi factor on tempreature an on various energy levels.
6 M
4(b) Derive an expression for Fermi level in an Intrinsic semiconductor.
6 M
4(c) Explain the construction and working of Magleves.
4 M
4(d) The electron mobility pf sillicon are 0.17m2/V-sec and 0.035m2/V-sec respectively at room temprature. If the carrier density is known to be 1.1×1016/m3 calculate the resistivity of sllicon material.
4 M

5(a) Derive an expression for energy density of radiation under equilibrium, in terms of Einstein's coefficient.
10 M
5(b) Explain various types of optical fibers.
6 M
5(c) A laser is emitting a beam with an average power 4.5mW. Finf the number of photons emitted per second by the laser. The wavelength of the emitted radiation is 6328A.
4 M

6(a) What is laser? Explain the requisites of laser system.
6 M
6(b) What is holography? Explain any one method of recording of the image of an object.
6 M
6(c) What is numerical aperture? Derive the expression for numerical aperture.
4 M
6(d) Find the attenuation in an optical fiber of length 500m, When a light signal of power 100mW emerges out of the fiber with a power of 90mw.
4 M

7(a) What is Bravsis Lattice? Explain the seven crystal systems.
8 M
7(b) Derive Bragg's law.
4 M
7(c) Find the atomic packing factor for BCC and FCC.
4 M
7(d) Draw the following Miller planes in a cube cell - (i) (110)
(ii) (102)
4 M

8(a) Explain the construction and working of Bragg s X-ray spectrometer
6 M
8(b) With a neat sketch, explain the salient features of Perouskites.
6 M
8(c) What is coordiation number? Find the coordination number for FCC.
4 M
8(d) Calculate the glancing angle for incidence of X-rays of wavelength 0.58 A on the plane (132) NaC1 which result in second order diffraction maxima taking the lattice spacing as 3.81A.
4 M

9(a) Define Mach number. Distinguish between acoustic,ultrasonic, subsonic and supersonic waves.
8 M
9(b) Explain general approaches of synthesis of nanomaterials.
8 M
9(c) Explain the applications of shock waves.
4 M

10(a) What are shock waves? Explain the experimental method of producing shock waves.
8 M
10(b) What are carbon nanotubes? Explain any one method of synthesis CNTs.
8 M
10(c) Explain any two applications of SEM.
4 M



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