What is the relation between the refractive index of water with respect to air μ w a , and the refractive index of air with respect to water μ a w .

When light moves from one transparent medium to another and none of the medium is air or vacuum, the relative refractive index of second medium with respect to first is defined as, μ 2 1 = 1 μ 1 2 So, the relationship between the refractive index of water with respect to air ( μ w a ) and the refractive index of air with respect to water μ a w is μ w a = 1 μ a w

If the refractive index of water with respect to air ( μ w a ) is 5 3 . Calculate the refractive index of air with respect to water ( μ a w ).

Given that, Refractive index of water with respect to air is μ w a = 5 3 We know that water and air are two different media, water is denser whereas air is a rarer medium. The refractive index of the denser medium is always greater than 1 . Therefore, the refractive index of air with respect to water is w μ a = 1 a μ w = 1 5 / 3 = 3 5

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

The refractive index of the material is a unitless quantity on which the speed of light a medium depends. It is the ratio of real depth to apparent depth. Given, the apparent depth d A = 2 . 7 m , refractive index of water μ = 4 3 , let the real depth be d R μ = d R d A 4 3 = d R 2 . 7 m d R = 4 3 × 2 . 7 m = 3 . 6 m Hence, the real depth is 3 . 6 m .

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

The refractive index of the material is a unitless quantity on which the speed of light a medium depends. It is the ratio of real depth to apparent depth. Given, the apparent depth d A = 2 . 7 m , refractive index of water μ = 4 3 , let the real depth be d R μ = d R d A 4 3 = d R 2 . 7 m d R = 4 3 × 2 . 7 m = 3 . 6 m Hence, the real depth is 3 . 6 m .

Which colour of light has a higher critical angle? Red light or Green light.

The angle of incidence of a ray of light for which the angle of refraction is 90 ° is called the critical angle. The critical angle of light increases as the wavelength of light increases, hence red light has a higher critical angle than green light.

State the relation between the critical angle and the absolute refractive index of a medium.

The angle of incidence of a ray of light for which the angle of refraction is 90 ° is called the critical angle. The ratio of velocities of a light ray in the air to the given medium is a refractive index. Thus, the relation between the critical angle C and refractive index μ can be established as the critical angle is inversely proportional to the refractive index and it can be given as: S i n C = 1 μ b a Here, a and b represent two medium in which light ray travels.

What is the relation between the refractive index of water with respect to air μ w a , and the refractive index of air with respect to water μ a w .

When light moves from one transparent medium to another and none of the medium is air or vacuum, the relative refractive index of second medium with respect to first is defined as, μ 2 1 = 1 μ 1 2 So, the relationship between the refractive index of water with respect to air ( μ w a ) and the refractive index of air with respect to water μ a w is μ w a = 1 μ a w

E M B I B E

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR SCIENCE>Chapter 4 - Refraction at Plane Surfaces>ICSE-2018>Q 3

MEDIUM

10th ICSE

IMPORTANT

Earn 100

The following diagram shows a $60 °, 30 °, 90 °$ glass prism of critical angle $42 °$ . Copy the diagram and complete the path of incident ray AB emerging out of the prism marking the angle of incidence on each surface.

Important Questions on Refraction at Plane Surfaces

EASY

10th ICSE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR SCIENCE>Chapter 4 - Refraction at Plane Surfaces>ICSE-2019>Q 5

Define critical angle.

EASY

10th ICSE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR SCIENCE>Chapter 4 - Refraction at Plane Surfaces>ICSE-2019>Q 6

State one important factor which affects the critical angle of a given medium.

EASY

10th ICSE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR SCIENCE>Chapter 4 - Refraction at Plane Surfaces>ICSE-2019>Q 7

What is the relation between the refractive index of water with respect to air $({}_{a}μ_{w})$ , and the refractive index of air with respect to water $({}_{w}μ_{a})$ .

EASY

10th ICSE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR SCIENCE>Chapter 4 - Refraction at Plane Surfaces>ICSE-2019>Q 8

If the refractive index of water with respect to air ( ${}_{a}μ_{w}$ ) is $\frac{5}{3}$ . Calculate the refractive index of air with respect to water ( ${}_{w}μ_{a}$ ).

MEDIUM

10th ICSE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR SCIENCE>Chapter 4 - Refraction at Plane Surfaces>ICSE-2019>Q 9

The diagram below shows a light source P embedded in a rectangular glass block ABCD of critical angle 42°. Complete the path of the ray PQ till it emerges out of the block. Write necessary angles.

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MEDIUM

10th ICSE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR SCIENCE>Chapter 4 - Refraction at Plane Surfaces>ICSE-2020>Q 10

A ray of light falls normally on a rectangular glass slab. Draw a ray diagram showing the path of the ray till it emerges out of the slab.

MEDIUM

10th ICSE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR SCIENCE>Chapter 4 - Refraction at Plane Surfaces>ICSE-2020>Q 11

Complete the path of the monochromatic light ray AB incident on the surface PQ of the equilateral glass prism PQR till it emerges out of the prism due to refraction.

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