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An observer can see through a pin-hole t...

An observer can see through a pin-hole the top end of a thin`
` rod of height h,placed as shown in the figure. The beaker height is 3h and its radius h. When the beaker is filled with a liquid up to a height 2h, he can see the lower end of the rod. Then, the refractive index of the liquid is

(a) `5/2` , (b) `sqrt((5)/(2))` , (c) `sqrt((3)/(2))` , (d) `(3)/(2)`

A

`(5)/(2)`

B

`sqrt((5)/(2))`

C

`sqrt((3)/(2))`

D

`(3)/(2)`

Text Solution

Verified by Experts

`sin i//sin r=1//mu`, `r=45^(@)`
`sin i=1//sqrt(5)`
`rArr mu=(5//2)^(1//2)`
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