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Question

A hydraulic lift raises a 1600kg load using a small piston of radius 4cm and a large piston of radius 16cm. What force is applied on the small piston? (Take g\=10m/s2)

Options

Choose one · Correct answer highlighted

Explanation

F1 = A1A2F2, F2 = 1600×10 = 16000N. A1 = π(0.04)2, A2 = π(0.16)2, A1A2 = 0.00160.0256 = 116. F1 = 1600016 = 1000N. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 1000 N. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

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