The velocity of light in air is 3 times 10^{8 | vedclass

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Question

(A) The refractive index $(n)$ of a medium is defined as the ratio of the speed of light in a vacuum or air $(c)$ to the speed of light in that medium

Vedclass · Accepted Answer

$2.25 	imes 10^{8} \, m \, s^{-1}$

Vedclass · Answer

(A) The refractive index $(n)$ of a medium is defined as the ratio of the speed of light in a vacuum or air $(c)$ to the speed of light in that medium $(v)$.Mathematically,$n = \frac{c}{v}$.Given:Speed of light in air $(c)$ = $3 	imes 10^{8} \, m \, s^{-1}$.Refractive index of water $(n)$ = $\frac{4}{3}$.We need to find the velocity of light in water $(v)$.Rearranging the formula: $v = \frac{c}{n}$.Substituting the values: $v = \frac{3 	imes 10^{8}}{\frac{4}{3}} = 3 	imes 10^{8} 	imes \frac{3}{4} = \frac{9}{4} 	imes 10^{8} = 2.25 	imes 10^{8} \, m \, s^{-1}$.Therefore,the velocity of light in water is $2.25 	imes 10^{8} \, m \, s^{-1}$.

The velocity of light in air is $3 \times 10^{8} \, m \, s^{-1}$. What is the velocity of light in water? (The absolute refractive index of water is $\frac{4}{3}$.)

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