2018-2019 December

Find the divergence of the vector function A=x^{2} i+x^{2}y^{2} j+24x^{2}y^{2}z^{3} k.

Concept: Curl and Divergence

What is antireflection coating? What should be the refractive index and minimum thickness of the coating?

Concept: Interference in Thin Film of Constant Thickness Due to Reflected and Transmitted Light

A glass material A with an optical fibre is made has a refractive index of 1.55. This material is clad with another material whose refractive index is 1.51. The light in the fibre is launched from air. Calculate the numerical aperture of the fibre.

Concept: Numerical Aperture

What is difference between Bottom up and Top Down Approach with respect to Nanotechnology.

Concept: Two Main Approaches in Nanotechnology

Write difference between LED and Laser Diode.

Concept: Applications of Laser

How is Lissajous figures used to measure unknown frequency?

Concept: Application of Cro - Frequency

A parallel beam of light of wavelength 5890 A0 is incident on a glass plate having refractive index π=π.π such that the angle of refraction in the plate is 600. Calculate the smallest thickness of the glass plate which will appear dark by reflected light.

Concept: Wedge Shaped Film(Angle of Wedge and Thickness Measurement)

With the help of proper diagram and necessary equation, explain how Newtons ring experiment is useful to determine the radius of curvature of plano convex lens. In a newton rings experiment the diameter of 5th dark ring is 0.336 cm and the diameter of 15th ring is 0.590 cm. Find the radius of curvature of plano convex lens if the wavelength of light used is 5890 A0.

Concept: NewtonβS Rings

What is monomode and multimode fibre? Explain the term V-number, Calculate the number of modes of a step index optical fibre of diameter 40 ππ will transmit as its core and cladding refractive indices are 1.5 and 1.46 respectively. Wavelength of light used is 1.5 ππ.

Concept: Number of Modes of Propagation

With a neat energy level diagram describe the construction and working of He-Ne Laser. What are the merits and demerits?

Concept: Applications of Laser

What is diffraction grating and grating element? Explain experimental method to determine the wavelength of the spectral line using diffraction grating?

Concept: Diffraction Grating

With a neat diagram explain the construction and working of scanning electron microscope.

Concept: Important Tools in Nanotechnology - Scanning Electron Microscope

Derive Bethe’s Law for electron refraction.

Concept: Electron Refraction

Derive the condition for absent spectra in grating.

Concept: Diffraction Grating

Draw the block diagram of an optical fibre communication system and explain function of each block.

Concept: Applications of Optical Fibre

Derive Maxwell’s Third Equation.

Concept: Determination of MaxwellβS Four Equations

An electron enters a uniform magnetic field B=0.23x10-2 Wb/m2 at 450 angle to B. Determine the radius and pitch of helical path. Assume electron speed to be 3x107 m/s.

Concept: Motion of Electron in Electric Field

If π¨=π^{π}π π−ππ^{π}π^{π}π+ππ^{π}ππ. Find π.π¨ at point (1,-1,1).

Concept: Curl and Divergence

A newtons rings setup is used with a source emitting two wavelength λ1=6000A0 and λ2=4500 A0. It is found that nth dark ring due to 6000A0 coincides with (n+2)th dark ring due to 4500 A0. If the radius of curvature of the lens is 90 cm, find the diameter of nth dark ring of 6000A0.

Concept: NewtonβS Rings

Differentiate between spontaneous and stimulated emission.

Concept: Spontaneous Emission and Stimulated Emission

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