Express the refractive index of Medium 2 with respect to Medium 1 in terms of the speed of light in both media.
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The refractive index \( n \) is the ratio of the speed of light in a vacuum to the speed of light in the medium, and it determines how much light bends when passing through the medium.
The refractive index \( n \) of a medium is defined as the ratio of the speed of light in a vacuum \( c \) to the speed of light in the medium \( v \):
\[
n = \frac{c}{v}
\]
where \( c \) is the speed of light in vacuum and \( v \) is the speed of light in the medium.
The refractive index of Medium 2 with respect to Medium 1 is given by:
\[
n_{21} = \frac{v_1}{v_2}
\]
where \( v_1 \) is the speed of light in Medium 1, and \( v_2 \) is the speed of light in Medium 2.
Thus, the refractive index of Medium 2 with respect to Medium 1 is \( n_{21} = \frac{v_1}{v_2} \).
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