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Q.

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

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a

5/2

b

5/2

c

3/2

d

3/2

answer is B.

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Detailed Solution

The line of sight of the observer remains constant, making an angle of 45° with the normal.sinθ=hh2+2h2=15μ=sin45osinθ=1/21/5=52
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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