Question 16

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

$$d_{\text{real1}} = \mu \cdot d_{\text{apparent1}}, \quad d_{\text{real2}} = \mu \cdot d_{\text{apparent2}}$$

$$\text{Total real side length: } L = d_{\text{real1}} + d_{\text{real2}} = \mu(d_{\text{apparent1}} + d_{\text{apparent2}})$$

$$24 = \mu(12 + 4) \implies 24 = 16\mu \implies \mu = \frac{24}{16} = \frac{3}{2}$$

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