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 $$________$$

Question

Infinity Learn · Accepted Answer

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

Refraction of light

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Refraction of light

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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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