Obtain the relation between phase difference and path difference.

Differentiate between Fresnel and Fraunhofer diffraction.

What is Fresnel’s distance? Obtain the equation for Fresnel’s distance.

Mention the differences between interference and diffraction.

Differentiate between polarised and unpolarised light.

Discuss polarisation by selective absorption.

What are polariser and analyser?

What are plane polarised, unpolarized and partially polarised light?

State and obtain Malus’ law.

List the uses of polaroids.

State Brewster’s law.

What are the advantages and disadvantages of a reflecting telescope?

A compound microscope has a magnifying power of 100 when the image is formed at infinity. The objective has a focal length of 0.5 cm and the tube length is 6.5 cm. What is the focal length of the eyepiece.

Two light sources with amplitudes 5 units and 3 units respectively interfere with each other. Calculate the ratio of maximum and minimum intensities.

In Young’s double slit experiment, the two slits are 0.15 mm apart. The light source has a wavelength of 450 nm. The screen is 2 m away from the slits.
(a) Find the distance of the second bright fringe and also third dark fringe from the central maximum.
(b) Find the fringe width.
(c) How will the fringe pattern change if the screen is moved away from the slits?
(d) What will happen to the fringe width if the whole setup is immersed in water of refractive index 4/3.

Lights of two wavelengths 560 nm and 420 nm are used in Young’s double slit experiment. Find the least distance from the central fringe where the bright fringes of the two wavelengths coincide. Given D = 1 m and d = 3 mm.

Find the minimum thickness of a film of refractive index 1.25, which will strongly reflect the light of wavelength 589 nm. Also find the minimum thickness of the film to be anti-reflecting.

Light of wavelength 500 nm passes through a slit of 0.2 mm wide. The diffraction pattern is formed on a screen 60 cm away. Determine the,
(a) angular spread of central maximum
(b) the distance between the central maximum and the second minimum.

A monochromatic light of wavelength 5000  Å passes through a single slit producing diffraction pattern for the central maximum as shown in the figure. Determine the width of the slit.

A man with a near point of 25 cm reads a book which has small print using a magnifying lens of focal length 5 cm.
(a) What are the closest and the farthest distances at which he should keep the lens from the book?
(b) What are the maximum and the minimum magnification possible?

A small telescope has an objective lens of focal length 125 cm and an eyepiece of focal length 2 cm.
(a) What is the magnification of the telescope?
(b) What is the separation between the objective and the eyepiece?
(c) What is the angular separation between two stars when viewed through this telescope if they subtend 1' for bare eye?

Obtain the equation for bandwidth in Young’s double slit experiment.