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Q.

A tank is filled with liquid to a height of 20 cm. The apparent depth of a needle lying at the bottom of the tank is measured by a microscope to be 15 cm. what is the refractive index of liquid?

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a

$\frac{3}{4}$

b

None of these

c

$\frac{4}{3}$

d

2

answer is C.

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Detailed Solution

detailed_solution_thumbnail

Here, real depth $= 20 cm$

Apparent depth $= 15 cm$

$\begin{array}{l} ∵ μ = \frac{real depth}{apparent depth} \\ ∴ μ = \frac{20}{15} = 1.33 . \end{array}$

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A tank is filled with liquid to a height of 20 cm. The apparent depth of a needle lying at the bottom of the tank is measured by a microscope to be 15 cm. what is the refractive index of liquid?