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What will be the speed of light in a medium of refractive index $1.5$ if the speed of light in vacuum is $3 \times 1 0^{8} m / s$ ?

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2 \times 1 0^{8} m / s

2.5 \times 1 0^{8} m / s

3.2 \times 1 0^{8} m / s

4 x 1 0^{8} m / s .

answer is A.

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Detailed Solution

The speed of the light in the medium is

2 \times 1 0^{8} m / s

.
Given,
The Speed of Light in Vacuum

c = 3 \times 1 0^{8} m / s

Refractive Index of the medium,

µ_{m} = 1.5

Let the speed of light in the medium is

= v

We know the refractive index

µ_{m} = \frac{Speed of light in vacuum}{Speed of light in medium}

1.5 = \frac{3 \times 1 0^{8}}{Speed of light in medium}

Speed of light in medium = \frac{3 \times 1 0^{8}}{1.5}

Speed of light in medium = 2 \times 1 0^{8}

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