Ray Optics and Optical Instruments

The speed of light in media M1 and M2 are 1.5 108 m/s and 2.0 108 m/s respectively. A ray of light enters from medium M1 to M2 at an incidence angle i. If the ray suffers total internal reflection, the value of i is

1. Equal to -1 ( 23 )
2. Equal to or less than -1 ( 35 )
3. Equal to or greater than -1 ( 34 )
4. Less than -1 ( 23 )

A ray of light is incident on a 60 prism at the minimum deviation position. The angle of refraction at the first face (i.e., incident face) of the prism is

1. zero
2. 30
3. 45
4. 60

A ray of light travelling in a transparent medium of refractive index , falls on a surface separating the medium from air at an angle of incidence of 45 . For which of the following value of the ray can undergo total internal reflection?

1. = 1.33
2. = 1.40
3. = 1.50
4. = 1.25

A lens having focal length f and aperture of diameter d forms an image of intensity I. Aperture of diameter d2 in central region of lens is covered by a black paper. Focal length of lens and intensity of image now will be respectively

1. f and I4
2. 3f4 and I2
3. f and 3I4
4. f2 and I2

Two thin lenses of focal lengths f1 and f2 are in contact and coaxial. The power of the combination is

1. f1 + f22
2. f1 + f2f1 f2
3. f1f2
4. f2f1

A boy is trying to start a fire by focusing sunlight on a piece of paper using an equiconvex lens of focal length 10 cm. The diameter of the sun is 1.39 109 m and its mean distance from the earth is 1.5 1011 m. What is the diameter of the sun's image on the paper ?

1. 6.5 10-5 m
2. 12.4 10-4 m
3. 9.2 10-4 m
4. 6.5 10-4 m

A small coin is resting on the bottom of a beaker filled with liquid. A ray of light from the coin travels up to the surface of the liquid and moves along its surface. How fast is the light travelling in the liquid? [figure]

1. 2.4 108 m/s
2. 3.0 108 m/s
3. 1.2 108 m/s
4. 1.8 108 m/s

The frequency of a light wave in a material is 2 1014 Hz and wavelength is 5000 A. The refractive index of material will be

1. 1.50
2. 3.00
3. 1.33
4. 1.40

A microscope is focussed on a mark on a piece of paper and then a slab of glass of thickness 3 cm and refractive index 1.5 is placed over the mark. How should the microscope be moved to get the mark in focus again ?

1. 2 cm upward
2. 1 cm upward
3. 4.5 cm downward
4. 1 cm downward

A convex lens and a concave lens, each having same focal length of 25 cm, are put in contact to form a combination of lenses. The power in diopters of the combination is

1. zero
2. 25
3. 50
4. infinite.