Answer any one question from Q1 & Q2

1 (a)
Prove that in Newton?s Ring by reflected light the diameter of bright ring are proportional to the square root of the odd natural number.

6 M

1 (b)
Explain any one application of Ultrasonic Waves.

3 M

1 (c)
The average reverberation time of a hall is 1.5 sec. and the area of the interior surface is 3340m

^{2}. If the volume of the hall is 13000m^{3}. Find the absorption coefficient.
3 M

2 (a)
Explain how piezoelectric effect can be used for generating Ultrasonic Waves?

6 M

2 (b)
Define fringe width for wedge shaped film, obtain an expression for it.

3 M

2 (c)
Find the half angular width of the central maxima in the
fraunhofer diffraction pattern of slit having width 10 ?10

^{-5}cm. When illumininated by light having wave length 5000 A?
3 M

Answer any one question from Q3 & Q4

3 (a)
State the Phenomena of Double Refraction. Hence explain Huygen?s Wave Theory of Double Refraction.

6 M

3 (b)
Draw energy band picture for P-N junction in case of (i) Zero Bias (ii) Forward Bias (iii) Reverse Bias.

3 M

3 (c)
A silver wire is in the form of a ribbon 0.5cm wide and
0.1 mm thick. When a current of 2A passes through the ribbon perpendicular to 0.8 Tesla Magnetic Field. Calculate the Hall Voltage produced.

(Given : Density of Silver = 10.5 gm/cc, Atomic Weight of Silver = 108, Avogadros No. 6.02 ? 10

(Given : Density of Silver = 10.5 gm/cc, Atomic Weight of Silver = 108, Avogadros No. 6.02 ? 10

^{23}gm/mole)
3 M

4 (a)
Derive an expression for Conductivity in Semiconductor.

6 M

4 (b)
Explain any one application of Laser.

3 M

4 (c)
How should the Polarizer and Analyzer be oriented to reduce intensity of beam to (i) 50% (ii) 0.25 of its original intensity ?

3 M

Answer any one question from Q5 & Q6

5 (a)
Define Phase Velocity and Group Velocity. Hence obtain the relation between V

_{p}and V_{g}for DeBroglie Wave.
6 M

5 (b)
Explain the physical significance of ? and |?|

^{2}.
4 M

5 (c)
An electron is bounded by an infinite potential well of width 2 ?10

(Give: h=6.64?10

^{-8}. Calculate the lowest two permissible energies of an electron.(Give: h=6.64?10

^{-34}J- sec., m=9.1 ? 10^{-31}kg)
3 M

6 (a)
Derive Schroedinger?s Time Independent Wave Equation.

6 M

6 (b)
State DeBroglie?s Hypothesis. Hence obtain the relation for DeBroglie?s Wave Length in terms of Energy.

4 M

6 (c)
The position and momentum of 1 kev electron are simultaneously measured. If its position is located within 1A?. Find the percentage of uncertainty in its momentum.

(Given: h=6.64?10

(Given: h=6.64?10

^{-34}J-sec., m=9.1?10^{-31}kg)
3 M

Answer any one question from Q7 & Q8

7 (a)
Explain the Phenomena of Super-conductivity. Explain
Type - I and Type - II Super-conductors.

6 M

7 (b)
Explain any two applications of Nano-technology.

4 M

7 (c)
Explain any two properties of Nano-particle.

3 M

8 (a)
Explain Synthesis of Metal Nano-particle by Collidal Route Method.

6 M

8 (b)
Explain BCS Theory of Super-conductivity.

4 M

8 (c)
State and explain:

(i) Meissner Effect

(ii) Persistent Current

(i) Meissner Effect

(ii) Persistent Current

3 M

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