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  • 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.

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

Option: 1

\frac{4}{3}


Option: 2

\frac{3}{2}


Option: 3

\frac{2}{3}


Option: 4

\frac{6}{5}


Answers (1)

best_answer

Question says small bubble is trapped inside a cube of length 24 cm. If apparent distance of bubble is 12 cm and 4 cm from one and other side and find x = ?

\mu_2=1 \quad \, \, \, \, \, \, \, \, \, \mu_1 \, \, is \, \, glass\\ \mu_1=\mu \quad \, \, \, \, \, \, \, \, \, \, \, \, \, \mu_2 \, \, is \, \, air\\ $$ \frac{12}{\mathrm{~d}_1}=\frac{1}{\mu}

\begin{aligned} & 12 \mu=\mathrm{d}_1 \quad \ldots .(1) \\ & \frac{4}{\mathrm{~d}_2}=\frac{1}{\mu} \quad \Rightarrow 4 \mu=\mathrm{d}_2 \end{aligned}

\mathrm{d}_1+\mathrm{d}_2=24 \mathrm{~m} \Rightarrow \quad 12 \mu+4 \mu=24 \Rightarrow \quad \mu=\frac{24}{16}=\frac{6}{4}=\frac{3}{2}

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Ritika Harsh

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