Two immiscible liquids of refractive indices and respectively are put in a beaker as shown in the figure. The height of each column is 6 cm. A coin is placed at the bottom of the beaker. For near normal vision, the apparent depth of the coin is cm. The

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Solution

Q.
Two immiscible liquids of refractive indices $\frac{8}{5}$ and $\frac{3}{2}$ respectively are put in a beaker as shown in the figure. The height of each column is 6 cm. A coin is placed at the bottom of the beaker. For near normal vision, the apparent depth of the coin is $\frac{α}{4}$ cm. The value of $α$ is ____. [2024]

Ans.
(31)

$h_{app} = \frac{h_{1}}{μ_{1}} + \frac{h_{2}}{μ_{2}} = \frac{6}{8 / 5} + \frac{6}{3 / 2} = 4 + \frac{15}{4} = \frac{31}{4} cm$

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