1
A crystal plane cuts at 3a, 4b and 2c distances along the crystallographics axes. Find the Miller indices of the plane.

2 M

2
Define atomic packing fraction.

2 M

3
What is Poisson's ratio?

2 M

4
State Newton's law of cooling.

2 M

5
What is meant by degenerate state?

2 M

6
What is Compton wavelength? Give its value.

2 M

7
List four methods of detecting ultrasonic waves.

2 M

8
Calculate the intensity level of a turbine whose sound intensity is 100 Wm

^{-2}when it is in operation. Given that the standard intensity level is 10^{-12}Wm^{-2}.
2 M

9
Define numerical aperture.

2 M

10
What are the roles played by the N

_{2}and He in CO_{2}Laser?
2 M

Answer any one question from Q11.(a) & Q11. (b)

11. (a) (i)
Explain the construction and working of Czochralski technique for growing crystal with its advantages.

12 M

11. (a)(ii)
The lattice constant of a cubic crystal is 2.5Å Find the lattice spacing for (310) and (213) planes in the lattice.

4 M

11. (b)
Show that in an ideal hexagonal closed packed structure the c/a ratio is 1.663 and its atomic packing factor equals to that of the face-centered cubic structure.

16 M

Answer any one question from Q12.(a) & Q12.(b)

12. (a)
What is cantilever? Derive an expression for the depression at the free end of a cantilever when the other end is rigidly fixed (Assume the weight of the cantilever is negligible).

16 M

12. (b) (i)
Derive an expression for the rectilinear flow of heat along an uniform bar (One dimensional flow of heat).

13 M

12. (b) (ii
Calculate the thickness of the slap of area 90× 10

^{-4}m^{-2}through which 6 joules of heat is flowing per second through the opposite faces maintained at a temperature difference of 20 K. The coefficient of thermal conductivity of the material of the slab is 0.04 Wm^{-1}K^{-1}.
3 M

Answer any one question from Q13.(a) & Q13.(b)

13. (a)
Derive an expression for Planck's radiation law and discuss the same for shorter and longer wavelengths.

16 M

13. (b) (i)
Solve Schrodinger wave equation for a particle in a box (one dimesional) and obtain the energy eigen values.

10 M

13. (b) (ii
Describe the working of Scanning Electron Microscope.

6 M

Answer any one question from Q14.(a) & Q14.(b)

14 (a) (i)
Describe in detail the production of ultrasonic waves by piezo-electric method.

10 M

14 (a) (ii)
Draw a block diagram of ultrasonic flaw detector. Describe the working of ultrasonic flaw detector for non-destructive testing by reflection mode.

6 M

14. (b)
Derive expression for growth and decay of energy density inside a hall and hence deduce Sabina's formula for the reverberation time of the hall.

16 M

Answer any one question from Q15.(a) & 15.(b)

15. (a)
Explain the construction and woking of CO

_{2}laser with its advantages.
16 M

15. (b) (ii
What is the NA of a fibre, which has a relative refractive index different of 0.05 and a core refractive index of 1.5?

2 M

15.(b) (i)
Explain in detail how optical fibers are classified according to the material, refractive index and modes of propagation.

14 M

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