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Q.

A cylinder is filled with a liquid of refractive indexμ The radius of the cylinder is decreasing at a constant rate K. The volume of the liquidinside the container remains constant at V. The observer and the object O are in a state of rest and at a distance L from each other.The apparent velocity of the object as seen by the observer, (when radius of cylinder is r)

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a

(1−μ)2KVπμr3

b

(1−μ)2KVπμLr2

c

(1−μ)2Kμ

d

(1−μ)K2μ

answer is A.

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Detailed Solution

Xapp=L−H+HμdXappdt=dHdt1−μμπr2H=V∴dHdt=−2Hrdrdt=2KHr∴dXappdt=2KVπr3(1−μ)μ
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