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A light travels through water in the beaker. The height of water column is 'h'.
Refractive index of water is ' $\mu_{\mathrm{w}}^{\prime}$. If $\mathrm{C}$ is velocity of light in air, the time taken by
light to travel through water will be
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Refractive index of water is ' $\mu_{\mathrm{w}}^{\prime}$. If $\mathrm{C}$ is velocity of light in air, the time taken by
light to travel through water will be
Solution:
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Verified Answer
The correct answer is:
$\frac{\mu_{\mathrm{w}} \mathrm{h}}{\mathrm{C}}$
Velocity $=\frac{\text { distance }}{\text { time }}$
$\therefore$ time $=\frac{\text { distance }}{\text { velocity }}=\frac{\mathrm{h}}{\mathrm{c}} \mu_{\mathrm{w}}$
$\therefore \mu_{\mathrm{w}}=\frac{\mathrm{c}}{\mathrm{v}} \quad \therefore \mathrm{v}=\frac{\mathrm{c}}{\mu_{\mathrm{w}}}$
$\therefore$ time $=\frac{\text { distance }}{\text { velocity }}=\frac{\mathrm{h}}{\mathrm{c}} \mu_{\mathrm{w}}$
$\therefore \mu_{\mathrm{w}}=\frac{\mathrm{c}}{\mathrm{v}} \quad \therefore \mathrm{v}=\frac{\mathrm{c}}{\mu_{\mathrm{w}}}$
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