Question 107 of 295

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

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Answer: 158

From Shell's Law
$\mu \times sini=1\times sinr$
$\mu \times \dfrac{\sqrt{15}}{\sqrt{{15}^{2+}{30}^{2}}}=1\times \sin 45^{\circ}$
$\mu =\sqrt{\dfrac{5}{2}}=158\times {10}^{-2}$