CBSE Class 10 Science 2019 · Paper 31/1/3/C · Question 5(b)

Light - Reflection and Refraction 2 marks Medium

How is refractive index of medium 2 with respect to medium 1 represented in terms of speed of light in the two media ? If the refractive index of medium 2 with respect to medium 1 is 1.6 and the speed of light in medium 1 is

2 \times 1 0^{8} ms^{- 1}

, find the speed of light in medium 2.

Answer

$n_{21} = \frac{v _{1}}{v _{2}}$ ; the speed of light in medium 2 is $v_{2} = 1.25 \times 1 0^{8}$ m/s.

The refractive index of medium 2 with respect to medium 1 is the ratio of the speed of light in medium 1 to the speed of light in medium 2:

n_{21} = \frac{v _{1}}{v _{2}}

. Speed of light in medium 2:

v_{2} = \frac{v _{1}}{n _{21}} = \frac{2 \times 1 0 ^{8}}{1.6} = 1.25 \times 1 0^{8} m s^{- 1}

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CBSE Class 10 Science 2019 · Paper 31/1/3/C · Question 5(b)

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