Geometrical OpticsHard

Question

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

Options

A.
B.
C.
D.

Solution

         
PQ = QR = 2h    ∴ ∠i = 45o
∴    ST = RT = h = KM = MN
So,     KS =
           = (h√5)
∴ sin r =
∴

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