A hydraulic press containing water has two arms with diameters as… | JEE Main 2024 (5 Apr, Shift 2)

Q9JEE Main 2024 · 5 APR · SHIFT 2Easy

Density, Compressibility & Pascal's Law

A hydraulic press containing water has two arms with diameters as mentioned in the figure. A force of $10\text{ N}$ 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.

Numerical answer type. Work it out, then open the answer.

Show answer and solution

Answer: 1000

Pascal's law: $\dfrac{F_1}{A_1} = \dfrac{F_2}{A_2}$ , and $A \propto d^2$ .
$F_2 = 10\times\left(\dfrac{14}{1.4}\right)^2 = 10\times100$
So the force is 1000 N.

Report a mistake

More questions on Density, Compressibility & Pascal's Law

The depth below the surface of sea to which a rubber ball be taken so as to decrease its…JEE Main 2024 (31 Jan, Shift 1)
If average depth of an ocean is 4000 m and the bulk modulus of water is 2 × 10⁹ N m⁻²…JEE Main 2024 (27 Jan, Shift 1)
A certain pressure ' P ' is applied to 1 litre of water and 2 litre of a liquid…JEE Main 2023 (1 Feb, Shift 1)
A hydraulic automobile lift is designed to lift vehicles of mass 5000 kg. The area of…JEE Main 2023 (8 Apr, Shift 2)
Given below are two statements: one is labelled as Assertion A and the other is labelled…JEE Main 2023 (6 Apr, Shift 2)
The bulk modulus of a liquid is 3 × 1010 Nm ⁻². The pressure required to reduce the…JEE Main 2022 (24 Jun, Shift 1)
A hydraulic press can lift 100 kg when a mass 'm' is placed on the smaller piston. It can…JEE Main 2021 (24 Feb, Shift 1)
An object is located at 2 km beneath the surface of the water. If the fractional…JEE Main 2021 (17 Mar, Shift 2)

Density, Compressibility & Pascal's Law question from JEE Main 2024 (5 Apr, Shift 2)

More questions on Density, Compressibility & Pascal's Law