A transparent cube of 15cm edge contains a small air bubble. Its apparent depth when viewed through one face is 6cm and when viewed through the opposite face is 4cm. Then the refractive index of the material of the cube is

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1.6

1.5

2.0

2.5

answer is D.

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Detailed Solution

When viewed from face (1)

$μ = \frac{u}{v} = \frac{x}{v} = \frac{x}{6} \dots \dots \dots (i)$ Now when viewed from face (2)
$μ = \frac{15 - x}{v} = \frac{15 - x}{4}$ From equation (i) and (ii) $μ = \frac{15 - 6 μ}{4} \Rightarrow μ = 1 .5$

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