An observer can see, through a pin-hole, the top end of a thin rod of height \( h \), placed as ...

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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-5.325. The
\( \mathrm{P} \) beaker height is \( 3 h \) and its radius is \( h \). When the beaker is filled

W with a liquid up to a height \( 2 h \), 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) \( 3 / 2 \)
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