JEE Main · 2024 · 05 Apr 2024 · Shift 2 · Fluid Mechanics

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A hydraulic press containing water has two arms with diameters as mentioned in the figure. A force of 10 N is applied on the surface of water in the thinner arm. The force required to be applied on the surface of water in the thicker arm to maintain equilibrium of water is ____ N.

Answer: 1000

Solution

By Pascal's law,

\frac{F _{1}}{A _{1}} = \frac{F _{2}}{A _{2}}

. The thin arm has diameter 1.4 cm (radius 0.7 cm) and the thick arm 14 cm (radius 7 cm).

F_{thick} = F_{thin} \times (\frac{7}{0.7})^{2} = 10 \times 100 = 1000 N

JEE Main · 2024 · 05 Apr 2024 · Shift 2 · Numerical answer

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