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Describe polarization of light by double refraction. Draw o- and e- wave surfaces for
calcite and quartz.
1. Answer any four parts: (5×4 = 20)
a) Consider a wave represented as y(x, t) = 2sin(10πt−πx/40+π/4) . Plot the space profile at t = 4/T and time profile at x = λ/8.
b) Describe polarization of light by double refraction. Draw o- and e- wave surfaces for
calcite and quartz.
c) Explain the concept of population inversion on the basis of Einstein’s A & B coefficients.
Discuss its significance for developing a LASER.
d) What is a zone plate? Show that it acts as a multi-foci converging lens.
e) Discuss the concept of missing orders with particular reference to double slit diffraction
pattern.
A light ray makes an incident angle 400
. If the mirror is rotated such that the mirror makes an angle
with the incident ray 400 , then by how much will the reflected ray be rotated?
A small object is placed 20 cm in front of a block of glass 10 cm thick and its farther side silvered.The image is formed 22 cm behind the silvered face.Find the refractive index of glass.
Options are
(a) 1.15
(b) 1.25
(c) 1.67
(d) 1.1
The equivalent circuit of a pyroelectric detector may be taken to be a current source i feeding into a parallel combination of a capacitor C and a load resistor R.if P is the dipole moment per unit volume of the pyroelectric material,show that i can be written i=a(dp/dT)(dT/dt) where T is the temperature of the detector an dT/dt the rate of increase of temperature with time due to the absorption of radiation.
calculate the wavelength at which the energy of a photon becomes equal to the average thermal energy of atoms in a solid at room temperature.
An isosceles prism of angle 120° has a refractive index 1.44. Two parallelmonochromatic rays enter the prism parallel to each other in air as shown. The rays emerge from the opposite face-
(A) are parallel to each other
(B) are diverging
(C) make an angle 2 [sin−1(0.72) − 30°] with each other
(D) make an angle 2 sin −1(0.72) with each other
A convex spherical refracting surface with radius R separates a medium having refractive index 5/2 from air.An object is moved towards the surface from far away from the surface along the central axis,its image-
a) changes from real to virtual when it is at a distance R from the surface.
b) changes from virtual to real when it is at a distance R from the surface.
c) changes from real to virtual when it is at a distance 2R/3 from the surface.
d) changes from virtual to real when it is at a distance 2R/3 from the surface.
Find the smallest size looking glass which a man with a face 24cm*16cm should purchase that inable him to see his whole face complete ly if (1)man is one eyed(2)man is two eyed
What are the smallest thicknesses of a soap bubble that produce constructive interference visible light of 380 nm (violet) and 760 nm (red).? And (b) the smallest thicknesses will give destructive interference? The index of refraction of soap is 1.33.
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