A cylinder is filled with a liquid of refractive index $μ$ The radius of the cylinder is decreasing at a constant rate K. The volume of the liquid
inside 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)

Question

Infinity Learn · Accepted Answer

$$Xapp=L$$−$$H+H$$μ$$dXappdt=dHdt1$$−μμπ$$r2H=V$$∴$$dHdt=$$−$$2Hrdrdt=2KHr$$∴$$dXappdt=2KV$$$$π$$$$r3(1$$−μ$$)$$μ

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