MCQ practice · SSC Physics Board questions · Chapter 5: State of Matter and Pressure
The areas of the small and large pistons of a hydraulic press are 10 cm² and 350 cm² respectively. If a force of 100 N is applied on the small piston, how much force will be obtained on the large piston?
Think it through first, then pick an option.
- a 20 N
- b 3500 N
- c 5000 N
- d 10000 N
Answer and explanation
Correct answer: b 3500 N
F₂ = F₁(A₂/A₁) = 100 × (350 ÷ 10) = 3500 N.
Why the other options are wrong
- a 20 N: The large piston has the larger area, so the force rises above 100 N; 20 N is not possible.
- c 5000 N: A force of 5000 N would need an area ratio of 50; here 350 ÷ 10 = 35.
- d 10000 N: A force of 10000 N would need an area ratio of 100; here the ratio is 35.
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