ICSE Class 10 Physics Question 5 of 19

Refraction of Light at Plane Surfaces — Question 5

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Question

Question 5

(a) Compare the speeds of light of wavelength 4000Å (i.e. violet light) and 8000Å (i.e. red light) in vacuum.

(b) How is the refractive index of a medium related to the speed of light in it and in vacuum or air?

Answer

(a) As we know that light is an electromagnetic wave and it travels with same speed for all wavelength, which is equal to 3 x 108.

Hence, the ratio of speeds of light of wavelength 4000Å (i.e. violet light) and 8000Å (i.e. red light) in vacuum = 1:1.

(b) The refractive index of a medium is defined as the ratio of the speed of light in vacuum (or air) to the speed of light in that medium.

μ=Speed of light in vacuum or air (c) Speed of light in that medium (V)μ =\dfrac{\text{Speed of light in vacuum or air (c) }}{\text {Speed of light in that medium (V)}} \\[0.5em]

Denser medium has a higher refractive index. Hence, the speed of light in such medium is lower in comparison to the speed of light in a medium which has a lower refractive index.