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1. A transparent cube of 15 cm edge contains a small air bubble. Its apparent depth when viewed through

one face is 6 cm and when viewed through the opposite face is 4 cm. Then the refractive index of the
material of the cube is :
(A) 2.0 (B) 1.5 (C) 1.6 (D) 2.5



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Real depth / apparent depth = refractive index

   h1 / 6 cm = μ    =>  h1 = 6 μ  cm

   h2 / 4cm =  μ    =>  h2 = 4 μ  cm

        h1 + h2 =  15 cm = 10 μ    =>    μ = 1.5 cm

The bubble is in the middle of the width of the cube.  So real depth from h1 one side face is equal to (15-h1) of the real depth from the opposite face.

2 3 2
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