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A layer of oil 3 cm thick is floating on...

A layer of oil 3 cm thick is floating on a layer of coloured water 5 cm thick. Refractive index of coloured water is `5//3` and the apparent depth of the two liquids appears to be `36//7`cm. Find the refractive index of oil.

Text Solution

Verified by Experts

The correct Answer is:
7
Apparent depth can be written as follows :
`h. = (h_(1))/(mu_(1)) + (h_(2))/(mu_(2))`
`rArr h. = (5)/(5//3) + (3)/(mu_(2)) = (36)/(7)`
`rArr 3 + (3)/(mu_(2)) = (36)/(7)`
`rArr mu_(2) = (7)/(5)`
On comparing with the m/5 we get m = 7. Hence answer 7.
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