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When a ray of light enters from alcohol to air, the refractive index of alcohol is $1.36$ . Find the speed of light in alcohol with respect to air.

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8.81 \times 10^{8} m / s

3.56 \times 10^{8} m / s

2.21 \times 10^{8} m / s

2.52 \times 10^{8} m / s

answer is C.

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Detailed Solution

[8]
The speed of light in alcohol with respect to air is

2.21 \times 10^{8} m / s .

We know that Refractive index of alcohol is

1.36

and also the speed of light is

3 \times 10^{8} m / s

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

,
Thus,

Speed of light in alcohol with respect to air = \frac{Speed of light in vacuum}{refractive index of alcohol}

= > \frac{3 \times 10^{8}}{1.36} = 2.21 \times 10^{8} m / s

= > 2.21 \times 10^{8} m / s

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