Attempt any five of the following:

1 (a)
Comment on colours in a soap film in sunlight.

4 M

1 (b)
What is Rayleigh's criterion of resolution? Define resolving power of a granting.

4 M

1 (c)
Calculate V number for an optical fiber having numerical aperture 0.25 and core diameter 20 μm if it is operated at 1.55 μm.

4 M

1 (d)
Compare light from ordinary source with laser light.

4 M

1 (e)
How phase difference between two signals is measured using CRO?

4 M

1 (f)
What are the properties of matter waves?

4 M

1 (g)
A superconductor has a critical temperature 3.7K at zero magnetic field. A 0K the critical magnetic field is 0.0306 Tesla. What is the critical magnetic field at temperature 2.0K?

4 M

2 (a)
Show that the diameter of Newton's nth dark ring is proportional to square root of ring number. In Newton's rings experiment the diameter of 5

^{th}dark ring was 0.336 cm and that of 15^{th}dark ring was 0.590 cm. Calculate the radius of curvature of Plano-convex lens if wavelength of light used is 5890 Å.
8 M

2 (b)
Derive an expression for numerical aperture of step index optical fiber. What are the adavantages of using an optical fiber?

7 M

3 (a)
Explain construction and working of He-Ne laser. What are its merits?

8 M

3 (b)
Derive the condition for thin transparent film of constant thickness to appear bright and dark when viewed in reflected light.

7 M

4 (a)
Calculate the maximum order of diffraction maxima seen from a plane diffraction grating having 5500 lines per cm if light of wavelength 5896 Å falls normally on it.

5 M

4 (b)
Derive Schrodinger's time-independent wave equation.

5 M

4 (c)
Define the term superconductivity. Show that in the superconducting state the material is perfectly diamagnetic.

5 M

5 (a)
A slit of width 0.3 mm is illuminated by a light of wavelength 5890 Å. A lens whose focal length is 40 cm forms a Fraunhofer diffraction pattern. Calculate the distance between first dark and the next bright fringe form the axis.

5 M

5 (b)
An electron is accelerated through 1000 volts and is reflected from a crystal. The first order reflection occurs when angle is 70°. Calculate the inter planar spacing of a crystal.

5 M

5 (c)
Explain construction and working of Atomic Force Microscope.

5 M

6 (a)
State Heisenberg's uncertainty principle. Show that electron cannot pre-exist in free state in a nucleus.

5 M

6 (b)
Draw a labelled diagram and explain construction and working of CRT.

5 M

6 (c)
Explain top down and bottom up approaches to prepare nanomaterials.

5 M

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