The refractive index of water with respect to air is 4 3 . What is the refractive index of air with respect to water?

Let c be the speed of light in air and v be the speed of light in water. Also, we know that the refractive index of medium 2 with respect to medium 1 is given by the ratio of the speed of light in medium 1 and the speed of light in medium 2 . Therefore, the refractive index of water with respect to air, μ w a = c v = 4 3 Similarly, the refractive index of water with respect to air, μ a w = v c ⇒ μ w a = 1 4 3 ⇒ μ w a = 3 4

The refractive index of water with respect to air is 4 3 . What is the refractive index of air with respect to water?

Let c be the speed of light in air and v be the speed of light in water. Also, we know that the refractive index of medium 2 with respect to medium 1 is given by the ratio of the speed of light in medium 1 and the speed of light in medium 2 . Therefore, the refractive index of water with respect to air, μ w a = c v = 4 3 Similarly, the refractive index of water with respect to air, μ a w = v c ⇒ μ w a = 1 4 3 ⇒ μ w a = 3 4

A water pond appears to be 2 . 7 m deep. If the refractive index of water is 4 3 , find the actual depth of pound?

Given, The apparent depth of the pond = 2 . 7 m The refractive index of water, μ = 4 3 We know that, μ = Actual depth Apparent depth ⇒ 4 3 = Actual depth 2 . 7 Then, actual depth = 4 3 × 2 . 7 = 3 . 6 m

E M B I B E

Self Study in Physics>Chapter 4 - Refraction at Plane Surfaces>Expected Questions>Q 5

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The refractive index of water with respect to air is $\frac{4}{3}$ . What is the refractive index of air with respect to water?

Important Questions on Refraction at Plane Surfaces

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IMPORTANT

Self Study in Physics>Chapter 4 - Refraction at Plane Surfaces>Expected Questions>Q 6

A ray of light incident at an angle

48^{o}

on a prism of refracting angle

60^{o}

suffers minimum deviation. Calculate the angle of minimum deviation?

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Self Study in Physics>Chapter 4 - Refraction at Plane Surfaces>Expected Questions>Q 7

What should be the angle of incidence for a ray of light which suffers a minimum deviation of

36^{o}

through an equilateral prism?

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Self Study in Physics>Chapter 4 - Refraction at Plane Surfaces>Expected Questions>Q 8

A water pond appears to be

2.7 m

deep. If the refractive index of water is

\frac{4}{3}

, find the actual depth of pound?

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10th ICSE

IMPORTANT

Self Study in Physics>Chapter 4 - Refraction at Plane Surfaces>TEST YOURSELF>Q 1

A bird is flying at the height

3 m

above the river surface while a fish is

4 m

below the surface. At what depth would the fish appear to the bird? At what height the bird would appear to fish? Given

{}_{a}μ_{w} = \frac{4}{3}

.

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Self Study in Physics>Chapter 4 - Refraction at Plane Surfaces>TEST YOURSELF>Q 2

Mention two properties of a wave. One property that varies and the other which remains constant when the wave passes from one medium to another.

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Self Study in Physics>Chapter 4 - Refraction at Plane Surfaces>TEST YOURSELF>Q 3

A ray of light passes from medium

1

to medium

2

with out any changes of direction. What can be said about the refractive indices of these media? (angle of incidence is not zero)

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Self Study in Physics>Chapter 4 - Refraction at Plane Surfaces>TEST YOURSELF>Q 4

The given figure shows a solid glass block of refractive index

1.5

. The lower surface of the block is silvered and behaves as a reflecting mirror. A white light ray AB is incident on the glass block at angle of

40^{o}

. Copy the diagram and trace the path of reflected and refracted rays.
Question Image

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Self Study in Physics>Chapter 4 - Refraction at Plane Surfaces>TEST YOURSELF>Q 5

Define the terms critical angle and total internal reflection. State two conditions necessary for total internal reflection to occur. Write down the relation for the critical angle in terms of refractive index. Draw diagrams to illustrate the critical angle and total internal reflection.