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A vessel contains water upto a height of 40 cm and above it an oil upto another 20 cm. The refractive indices of the water and the oil are 133 and 130 respectively. The apparent depth of the vessel when viewed from above is

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45.4 cm

632 cm

56.5 cm

28.5 cm

answer is C.

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Detailed Solution

Apparent depth $= \frac{40}{1 .33} + \frac{20}{1 .3}$

$\begin{array}{l} = \frac{40 \times 3}{4} + \frac{200}{13} \\ = 30 + 15 .4 = 45 .4 cm \end{array}$

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