An ice cube has a bubble inside. When viewed from one side the apparent distance of the bubble is 12 cm. [2023]

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Solution

Q.
An ice cube has a bubble inside. When viewed from one side the apparent distance of the bubble is 12 cm. When viewed from the opposite side, the apparent distance of the bubble is observed as 4 cm. If the side of the ice cube is 24 cm, the refractive index of the ice cube is [2023]

1 $\frac{4}{3}$

2 $\frac{3}{2}$

3 $\frac{2}{3}$

4 $\frac{6}{5}$

Ans.
(2)

$d_{apparent} = \frac{d_{actual}}{μ_{rel}}$

$12 = \frac{x}{μ} \dots (i)$

$d = \frac{24 - x}{μ} \dots (i i)$

$On solving we get μ = 1.5$

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