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A large transparent cube (refractive ind...

A large transparent cube (refractive index = 1.5) has a small air bubble inside it. When a coin (diameter 2 cm) is placed symmetrically above the bubble on the top surface of the cube, the bubble cannot be seen by looking down into the cube at any angle. However, when a smaller coin (diameter 1.5 cm) is placed directly over it, the bubble can be seen by looking down into the cube. What is the range of the possible depths d of the air bubble beneath the top surface ?

Text Solution

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The correct Answer is:
`(3sqrt(5))/(8) lt d lt (sqrt(5))/(2)cm`
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