An observer can see through a small hole on the side of a jar (radius 15 cm) at a point at height of 15 cm from the bottom (see figure). The hole is at a height of 45 cm. When the jar is filled with a liquid up to a height of 30 cm the same observer can see the edge at the bottom of the jar. If the refractive index of the liquid is N/100, where N is an integer, the value of N is ________

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answer is 0158.00.

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Detailed Solution

In upper left triangle, tanr =1515=1⇒r=45°In lower right triangle, tani =1530=12⇒sini=15Snell's Law, 1sinr=μsini ⇒112=μ15⇒μ=52=1.58 =158100

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