A glass cube of length 21 cm has a small air | vedclass

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Question

(A) Let the side of the glass cube be $L = 21 \ cm$. Let the actual distance of the air bubble from the first face be $x$. Then,its distance from the

Vedclass · Accepted Answer

$1.5, 12 \ cm$

Vedclass · Answer

(A) Let the side of the glass cube be $L = 21 \ cm$. Let the actual distance of the air bubble from the first face be $x$. Then,its distance from the opposite face is $(L - x)$.When viewed from the first face,the apparent distance is $d_1 = x / \mu = 8 \ cm$,so $x = 8\mu$.When viewed from the opposite face,the apparent distance is $d_2 = (L - x) / \mu = 6 \ cm$,so $L - x = 6\mu$.Adding the two equations: $x + (L - x) = 8\mu + 6\mu$,which gives $L = 14\mu$.Given $L = 21 \ cm$,we have $21 = 14\mu$,so $\mu = 21 / 14 = 1.5$.Substituting $\mu = 1.5$ into $x = 8\mu$,we get $x = 8 	imes 1.5 = 12 \ cm$.

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