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← JEE Main 2021 · 24 Feb · Shift 1
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JEE Main 2021 · 24 Feb · Shift 1, Physics question 24

A hydraulic press can lift 100 kg when a mass 'm' is placed on the smaller piston. It can lift _______ kg when the diameter of the larger piston is increased by 4 times and that of the smaller piston is decreased by 4 times keeping the same mass 'm' on the smaller piston.

Answer and worked solution

Official answer: 25600

Pascal. Load ∝ AlargeAsmall\frac{A_{large}}{A_{small}}, which grows by 16×16=25616\times16=256: 100×256=25600100\times256=25600 kg.

Answer: 25600