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The value of the speed of light in a medium with a refractive index of $1.5$ is

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2 \times 10^{8} m / s

10^{8} m / s

3 \times 10^{8} m / s

1.5 \times 10^{8} m / s

answer is A.

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Detailed Solution

The value of the speed of light in a medium with a refractive index of

1.5

2 \times 10^{8} m / s

Given:

Refractive index = 1.5

The formula of the refractive index is given as

Refractive index = \frac{Speed of light in vacuum}{Speed of light in medium}

We know,

Speed of light in vacuum = 3 \times 10^{8} m / s

Substituting the values in the formula,

1.5 = \frac{3 \times 10^{8}}{Speed of light in medium}

\Rightarrow Speed of light in medium = \frac{3 \times 10^{8}}{1.5}

∴ Speed of light in medium = 2 \times 10^{8} m / s

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