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Apparent Depth

A coin at the...

Question

A coin at the bottom of a trough containing water to a depth of $15 c m$ appears to be $3.75 c m$ raised above from the bottom. Calculate the refractive index of water.

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Solution

Virtual Depth of the coin is $15 - 3.75 = 11.25 c m$

Refractive index $= \frac{real depth}{virtual depth} = 15 / 11.25 = 1.33$

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