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/C

^{2}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

^{-15}sec.
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 0.17m

^{2}/V-sec and 0.035m^{2}/V-sec respectively at room temprature. If the carrier density is known to be 1.1×10^{16}/m^{3 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)

(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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