An observer can see through a pinhole the top end of a thin rod of height h , placed as shown in the figure. The beaker height is 3 h and its radius h . When the beaker is filled 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

Question

An observer can see through a pinhole the top end of a thin rod of height h , placed as shown in the figure. The beaker height is 3 h and its radius h . When the beaker is filled 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, 5 2, 5 2, 3 2, 3 2

MARKS App · Accepted Answer

PQ = QR = 2 h ∴ ∠ i = 4 5 0 ∴ ST = RT, h = KM = MN So, KS = h 2 + 2 h 2 = h 5 ∴ sin r = h h 5 = 1 5 ∴ μ = sin i sin r = sin 45° 1 / 5 = 5 2

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