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Figure shows a hydraulic press with the larger piston of diameter 35 cm at a height of 1.5 m relative to the smaller piston of diameter 10 cm. The mass on the smaller piston is 20 kg. What is the force exerted on the load by the larger piston. The density of oil in the press is 750 kg/m³, (Take g = 9.8 m/s²).

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5 × 10³N

1.3 × 10³ N

3.7 × 10³N

4.8 × 10³N

answer is B.

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Detailed Solution

$\frac{F_{1}}{A_{1}} - \frac{F_{2}}{A_{2}} = hρg; \frac{m_{1} g}{{πr}_{1}^{2}} - \frac{m_{2} g}{{πr}_{2}^{2}} = hρg$

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