The refractive index of a given transparent medium is 1.5. What will be the speed of light in that medium?

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RRB Group D 22 Aug 2022 Shift 1 Official Paper
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  1. 2 × 108m / sec
  2. 4.5 × 108m / sec
  3. 3 × 108m / sec
  4. 0.5 × 108m / sec

Answer (Detailed Solution Below)

Option 1 : 2 × 108m / sec
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Detailed Solution

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The correct answer is 2 × 108m / sec.

Given:

Refractive index \(n=1.5\)

To find: Speed of light in the medium

Formula used:

The refractive index is defined as:

\(n={Speed-of-light-in-vaccum \over Speed-of-light -in-medium}\)

Calculations:

Here we have,

\(n={Speed-of-light-in-vaccum \over Speed-of-light -in-medium}\)

\(1.5={3*10^8 \over Speed-of-light -in-medium}\)

Speed of light in the medium is \(={3*10^8\over 1.5}=2*10^8m/sec\)

So, the speed of light in the medium is 2 × 108m / sec.

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