Light propagates x cm distance in a medium of refractive index μ in time $$t0$$. In the same time $$t0$$, light propogates a distance of $$x6$$ cm in a medium of refractive index μ$$1$$ . If μ$$1=k$$μ , find the value of k.

Optical path μ$$1x1=$$μ$$2x2$$ μ$$x=k$$μ$$x6$$ $$k=6$$

Refraction of light

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Question

Light propagates x cm distance in a medium of refractive index $μ$ in time t₀. In the same time t₀, light propogates a distance of $\frac{x}{6}$ cm in a medium of refractive index $μ^{1}$ . If $μ^{1} = k μ$ , find the value of k.

Easy

Solution

Optical path
$μ_{1} x_{1} = μ_{2} x_{2} μ x = k μ \frac{x}{6} k = 6$

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