A light travels through water in the beaker. The height of water column is 'h'. Refractive index of water is…

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
  1. $\frac{\mu_{\mathrm{w}} \mathrm{h}}{\mathrm{C}}$
  2. $\mathrm{h} \mu_{\mathrm{w}} \mathrm{C}$
  3. $\frac{\mathrm{hC}}{\mu_{\mathrm{w}}}$
  4. $\frac{\mathrm{h}}{\mu_{\mathrm{w}} \mathrm{C}}$

Solution

Velocity $=\frac{\text { distance }}{\text { time }}$ $\therefore$ time $=\frac{\text { distance }}{\text { velocity }}=\frac{\mathrm{h}}{\mathrm{c}} \mu_{\mathrm{w}}$ $\therefore \mu_{\mathrm{w}}=\frac{\mathrm{c}}{\mathrm{v}} \quad \therefore \mathrm{v}=\frac{\mathrm{c}}{\mu_{\mathrm{w}}}$ ~

Asked in: MHT CET 2020 (20 Oct Shift 1)

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