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A vertical single and double slits and illuminated by a point source. Discuss the salient
features of their Fraunhofer diffraction patterns. Also, obtain an expression for intensity
distribution in case of double slit.
The inclined faces of a glass biprism (µ = 1.5) make an angle of 1° with its base. The
biprism is illuminated by a sodium lamp (λ = 589 nm) and the eye piece is at a
distance of 1 m from the slit. A convex lens inserted between the biprism and the eye
piece gives clear images of coherent sources in the focal plane of the eye piece. If the
images are 0.4 cm apart in one case and 0.16 cm apart in the second case, calculate
the width of interference fringes observed on the screen.
Show that the radius of a dark Newton’s ring is directly proportional to the square
root of the radius of curvature of the lens used.
Discuss the principle of Michelson interferometer. How can it be used to determine
the refractive index of a thin plate and wavelength of monochromatic light?
How is image formed on the retina of human eye processed by human brain?
Discuss.
Show that superposition of two linearly polarised light waves having different
amplitudes and a finite phase difference can be used to produce elliptically plane
polarised waves.
A plane e.m. wave is incident normally on an interface. Obtain expressions for
reflection and transmission coefficients.
Discuss the importance of hologram in (i) information storage, and (ii) pattern
recognition.
‘Diffraction limits the image forming capability of optical devices’. Discuss the
authenticity of this statement for the particular case of a microscope.
Discuss, with necessary theory, how is interference pattern in Young’s double slit
experiment modified when a thin glass plate is introduced in the path of one of the
interference waves?