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Standard X

Physics

Refraction

The same colo...

Question

The same colour of light takes time $t_{1}$ and $t_{2}$ to travel the same distance $x$ in two different media $A$ and $B$ respectively. The refractive index of medium $A$ with respect to $B$ will be

\frac{x t_{1}}{t_{2}}

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\frac{t_{2}}{x t_{1}}

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\frac{t_{2}}{t_{1}}

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\frac{t_{1}}{t_{2}}

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Solution

The correct option is D $\frac{t_{1}}{t_{2}}$
We know that, relative refractive index,
$μ_{A B} = \frac{μ_{A}}{μ_{B}} = \frac{v_{B}}{v_{A}}$
$\Rightarrow μ_{A B} = \frac{x / t_{2}}{x / t_{1}} = \frac{t_{1}}{t_{2}}$

Why this question?
It tests your basic understanding of the concept of relative refractive index.

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The same colour of light takes time t1 and t2 to travel the same distance x in two different media A and B respectively. The refractive index of medium A with respect to B will be

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