The index of refraction of diamond is 2.0. Th | vedclass

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Question

(D) The refractive index $\mu$ is defined as the ratio of the speed of light in vacuum $c$ to the speed of light in the medium $v$: $\mu = \frac{c}{v}

Vedclass · Accepted Answer

$1.5 	imes 10^{10}$

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(D) The refractive index $\mu$ is defined as the ratio of the speed of light in vacuum $c$ to the speed of light in the medium $v$: $\mu = \frac{c}{v}$.Given,$\mu = 2.0$ and $c = 3 	imes 10^8 \ m/s$.Rearranging the formula for velocity: $v = \frac{c}{\mu}$.Substituting the values: $v = \frac{3 	imes 10^8 \ m/s}{2.0} = 1.5 	imes 10^8 \ m/s$.To convert the velocity from $m/s$ to $cm/s$,we multiply by $100$ $(1 \ m = 100 \ cm)$:$v = 1.5 	imes 10^8 	imes 10^2 \ cm/s = 1.5 	imes 10^{10} \ cm/s$.

The index of refraction of diamond is $2.0$. The velocity of light in diamond in $cm/s$ is approximately:

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