Ray Optics and Optical Instruments

A beam of light composed of red and green rays is incident obliquely at a point on the face of a rectangular glass slab. When coming out on the opposite parallel face, the red and green rays emerge from

1. two points propagating in two different non-parallel directions
2. two points propagating in two different parallel directions
3. one point propagating in two different directions
4. one point propagating in the same directions

An equiconvex lens is cut into two halves along (i) XOX′ and (ii) YOY′ as shown in the figure. Let f, f', f'' be the focal lengths of the complete lens, of each half in case (i), and of each half in case (ii), respectively. Choose the correct statement from the following [figure]

1. f' = f, f'' = 2f
2. f' = 2f, f'' = f
3. f' = f, f'' = f
4. f' = 2f, f'' = 2f

A convex lens is dipped in a liquid whose refractive index is equal to the refractive index of the lens. Then its focal length will

1. become zero
2. become infinite
3. become small, but non-zero
4. remain unchanged

A bulb is located on a wall. Its image of the same size is to be obtained on a parallel wall with the help of a convex lens. The lens is placed at a distance d ahead of the second wall, then the required focal length will be

1. only d4
2. only d2
3. more than d4 but less than d2
4. less than d4

For the given incident ray as shown in the figure, for total internal reflection of this ray, the required refractive index of the prism will be [figure]

1. 3+12
2. 2+12
3. 32
4. 76

Optical fibres are based on

1. total internal reflection
2. less scattering
3. refraction
4. less absorption coefficient

A ray of light travelling in air has wavelength , frequency n, velocity v and intensity I. If this ray enters into water then these parameters are ', n', v' and I' respectively. Which relation is correct from following?

1. = '
2. n = n'
3. v = v'
4. I = I'

A disc is placed on a surface of pond which has refractive index 5/3. A source of light is placed 4 m below the surface of liquid. The minimum radius of disc needed so that light is not coming out is

2. 3 m
3. 6 m
4. 4 m

A bubble in glass slab ( = 1.5) when viewed from one side appears at 5 cm and 2 cm from other side, then thickness of slab is

1. 3.75 cm
2. 3 cm
3. 10.5 cm
4. 2.5 cm.

A tall man of height 6 feet, wants to see his full image. Then required minimum length of the mirror will be

1. 12 feet
2. 3 feet
3. 6 feet
4. any length