# The absolute refractive indices of two media 'A' and 'B' are 2.0 and 1.5 respectively. If the speed of light in medium 'B' is 2 × 10^8 m/s, calculate the speed of light in - Science

The absolute refractive indices of two media 'A' and 'B' are 2.0 and 1.5 respectively. If the speed of light in medium 'B' is 2 × 108 m/s, calculate the speed of light in:

(i) vacuum,

(ii) medium 'A'.

#### Solution

Absolute refractive index of medium 'A', mu_A=2.0

Absolute refractive index of medium 'B', mu_B=1.5

(i) For medium 'B',

1.5=c/((2xx10^8))

rArrc=2xx1.5xx10^8

rArrc=3xx10^8

Speed of light in vacuum is ⇒v=cμA

⇒v=cμA.

(ii) For medium 'A',

mu_A=c/v

rArrv=c/mu_A

rArrv=(3xx10^8)/2

rArrv=1.5xx10^8

Thus, speed of light in medium 'A' is 1.5 x 108 m s-1.

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