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Question: A coin is kept at bottom of an empty beaker. A travelling microscope is focused on the coin from top...

A coin is kept at bottom of an empty beaker. A travelling microscope is focused on the coin from top, now water is poured in beaker up to a height of 10 cm. By what distance and in which direction should the microscope be moved to bring the coin again in focus

A

10 cm up ward

B

10 cm down ward

C

2.5 cm up wards

D

2.5 cm down wards

Answer

2.5 cm up wards

Explanation

Solution

When water is poured in the beaker. Coin appears to shift by a distance d=h4=104=2.5cm\mathbf{d =}\frac{\mathbf{h}}{\mathbf{4}}\mathbf{=}\frac{\mathbf{10}}{\mathbf{4}}\mathbf{= 2.5cm}

Hence to bring the coil again in focus, the microscope should be moved by 2.5 cm in upward direction.