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A converging lens has a focal length of 10 cm in air. It is made of a material with a refractive index of 1.6. If it is immersed in a liquid of refractive index 1.3, find its new focal length.
Concept: Reflection of Light by Spherical Mirrors
Draw the sketches to differentiate between plane wavefront and spherical wavefront.
Concept: Introduction of Wave Optics
Three identical polaroid sheets P1, P2 and P3 are oriented so that the pass axis of P2 and P3 are inclined at angles of 60° and 90° respectively with the pass axis of P1. A monochromatic source S of unpolarised light of intensity I0 is kept in front of the polaroid sheet P1 as shown in the figure. Determine the intensities of light as observed by the observer at O, when polaroid P3 is rotated with respect to P2 at angles θ = 30° and 60°.

Concept: Polarisation
The intensity at the central maxima in Young’s double slit experiment is I0. Find out the intensity at a point where the path difference is` lambda/6,lambda/4 and lambda/3.`
Concept: Interference of Light Waves and Young’s Experiment
Write the important characteristic features by which the interference can be distinguished from the observed diffraction pattern.
Concept: Interference
Show, using a simple polaroid, that light waves are transverse in nature. Intensity of light coming out of a polaroid does not change irrespective of the orientation of the pass axis of the polaroid. Explain why.
Concept: Polarisation
In young’s double slit experiment, deduce the conditions for obtaining constructive and destructive interference fringes. Hence, deduce the expression for the fringe width.
Concept: Interference of Light Waves and Young’s Experiment
Show that the fringe pattern on the screen is actually a superposition of slit diffraction from each slit.
Concept: Interference of Light Waves and Young’s Experiment
What should be the width of each slit to obtain 10 maxima of the double slit pattern within the central maximum of the single slit pattern, for green light of wavelength 500 nm, if the separation between two slits is 1 mm?
Concept: Width of Central Maximum
Two monochromatic rays of light are incident normally on the face AB of an isosceles right-angled prism ABC. The refractive indices of the glass prism for the two rays '1' and '2' are respectively 1.3 and 1.5. Trace the path of these rays after entering the prism.

Concept: Refraction of Monochromatic Light
Show, with the help of a diagram, how unpolarised sunlight gets polarised due to scattering.
Concept: Polarisation
Two polaroids P1 and P2 are placed with their pass axes perpendicular to each other. An unpolarised light of intensity Io is incident on P1. A third polaroid P3 is kept in between P1 and P2 such that its pass axis makes an angle of 45° with that of P1. Determine the intensity of light transmitted through P1, P2 and P3
Concept: Polarisation
Two monochromatic rays of light are incident normally on the face AB of an isosceles right-angled prism ABC. The refractive indices of the glass prism for the two rays '1' and '2' are respectively 1.35 and 1.45. Trace the path of these rays after entering the prism.

Concept: Refraction of Monochromatic Light
Using the phenomenon of polarisation, show how the transverse nature of light can be demonstrated.
Concept: Polarisation
Two polaroids P1 and P2 are placed with their pass axes perpendicular to each other. An unpolarised light of intensity I0 is incident on P1. A third polaroid P3 is kept in between P1 and P2 such that its pass axis makes an angle of 30° with that of P1. Determine the intensity of light transmitted through P1, P2 and P3
Concept: Polarisation
Show, via a suitable diagram, how unpolarised light can be polarised by reflection.
Concept: Polarisation
Monochromatic light of wavelength 589 nm is incident from air on a water surface. What are the wavelength, frequency and speed of (a) reflected and (b) refracted light? Refractive index of water is 1.33.
Concept: Introduction of Wave Optics
Consider a plane wave front incident on a thin convex lens. Draw a proper diagram to show how the incident wave front traverses through the lens and after refraction focusses on the focal point of the lens, giving the shape of the emergent wave front.
Concept: Huygens' Principle
Draw a graph showing the variation of intensity (I) of polarised light transmitted by an analyzer with the angle (θ) between polariser and analyzer.
Concept: Plane Polarised Light
What is the value of refractive index of a medium of polarising angle 60°?
Concept: Polarisation
