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Question

A hydraulic lift raises a 1900kg load using a small piston of radius 4.5cm and a large piston of radius 18cm. What force is applied on the small piston? (Take g\=9.8m/s2)

Options

Choose one · Correct answer highlighted

Explanation

F1 = A1A2F2, F2 = 1900×9.8 = 18620N. A1 = π(0.045)2, A2 = π(0.18)2, A1A2 = 0.0020260.0324 = 116. F1 = 1862016 = 1163.75N≈1164N. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 1164 N. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.

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