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Q.

The shape of an ancient water clock jar is such that the water level descends at a constant rate at all times. The water level falls by  λ m/s and the shape of the jar is given by y α xn. Find the value of n if the radius r of the drain hole can be assumed to be very small.

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answer is 4.

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Detailed Solution

a2gy=(πx2)(dydt)

dydt=constant y=x4

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