$A$ piston of cross-sectional area $2.5 \times 10^{-2} \text{ m}^2$ is used in a hydraulic lift to exert a force of $250 \text{ N}$ on water. The cross-sectional area of the other piston which supports a car of mass $3000 \text{ kg}$ is $(g = 9.8 \text{ m/s}^2)$ (in $\text{ m}^2$)

  • A
    $1.96$
  • B
    $2.94$
  • C
    $3.92$
  • D
    $5.88$

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Similar Questions

Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$.
Assertion $A:$ When you squeeze one end of a tube to get toothpaste out from the other end,Pascal's principle is observed.
Reason $R:$ $A$ change in the pressure applied to an enclosed incompressible fluid is transmitted undiminished to every portion of the fluid and to the walls of its container.
In the light of the above statements,choose the most appropriate answer from the options given below:

In a hydraulic lift,the surface area of the input piston is $6 \ cm^2$ and that of the output piston is $1500 \ cm^2$. If $100 \ N$ force is applied to the input piston to raise the output piston by $20 \ cm$,then the work done is . . . . . . $kJ$.

Which law states that the effect of pressure is the same for all portions of a confined fluid?

Name two devices working on Pascal's law.

$A$ hydraulic lift is shown in the figure. The movable pistons $A, B$ and $C$ have radii of $10 \,cm, 100 \,cm$ and $5 \,cm$ respectively. If a body of mass $2 \,kg$ is placed on piston $A$, what are the maximum masses that can be lifted by pistons $B$ and $C$ respectively?

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