A tank is filled up to a height h with a liquid and is placed on a platform of height h from the ground. To get maximum range xm a small hole is punched at a distance of y from the free surface of the liquid. Then
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Question

A tank is filled up to a height h with a liquid and is placed on a platform of height h from the ground. To get maximum range xm a small hole is punched at a distance of y from the free surface of the liquid. Then

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G1 Physics · Accepted Answer

Step 1: Efflux speed from a hole at depth y is √(2gy), while time to reach the ground from height 2h−y is √[2(2h−y)/g]. Step 2: Range x=2√[y(2h−y)] is maximum at y=h, giving xmax=2h. Final answer: A,C.