When a biconvex lens of glass having refractive index 1.47 is dipped in a liquid, it acts as plane sheet of glass. This implies that the liquid must have refractive index, ______.

The radius of curvature of curved surface at a thin planoconvex lens is 10 cm and the refractive index is 1.5. If the plane surface is silvered, then the focal length will be, ______.

First diffraction minimum due to a single slit of width 1.0 x 10^–5 cm is at 30^o. Then wavelength of light used is,_____.

Two plane mirrors are at 45° to each other. If an object is placed between them then the number of images will be ________________.

A ray of light is incident normally on a lane mirror. The angle of reflection will be _____________.

What are mirage and looming?

Write a short note on the prisms making use of total internal reflections.

State the laws of reflection

What is meant by angular dispersion?

Write the uses of nicol prism.

Obtain the equation for radius of illumination (or) Snell’s window.

What is dispersion? Obtain the equation for dispersive power of a medium.

Prove law of reflection using Huygens’ principle.

An object is placed at the principal focus of a convex lens. Determine the position of the image making use of the lens equation.

The image of a candle is formed by a convex lens on a screen. The lower half of the lens is painted black to make it completely opaque. Draw the ray diagram to show the image formation. How will this image be different from the one obtained when the lens is not painted black?

If the distance D between an object and screen is greater than 4 times the focal length f of a convex lens, then there are two positions for which the lens forms an enlarged image and a diminished image respectively. This method is called conjugate foci method. If d is the distance between the two positions of the lens, obtain the equation for focal length of the convex lens.

A beam of light of wavelength 600 nm from a distant source falls on a single slit 1 mm wide and the resulting diffraction pattern is observed on a screen 2 m away. What is the distance between the first dark fringes on either side of the central bright fringe?

The critical angle for a given piece of glass is 45°. Calculate the polarising angle for it. Also calculate the angle of refraction when light is incident on this glass at an angle of incident equal to i_p.

A biconvex lens with its two faces of the equal radius of curvature R is made of a transparent medium of refractive index ~2 as shown in the figure.

(i) Find the equivalent focal length of the combination.
(ii) Obtain the condition when this combination acts as a diverging lens.
(iii) Draw the ray diagram for the case (\({ \mu }_{ 1 }​​>({ \mu }_{ 2 }+1)\) + 1) / 2 when the object is kept far away from the lens. Point out the nature of the image formed by the system.