(B) According to Pascal's law,the pressure applied at both pistons must be equal for equilibrium.$P_1 = P_2$$\frac{F_1}{A_1} = \frac{F_2}{A_2}$Here,$F

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(B) According to Pascal's law,the pressure applied at both pistons must be equal for equilibrium.$P_1 = P_2$$\frac{F_1}{A_1} = \frac{F_2}{A_2}$Here,$F_1 = M_1 g = 1000 \times g$ and $F_2 = M_2 g$.Given $A_1 = 1 \ m^2$ and $A_2 = 0.01 \ m^2$.Substituting the values:$\frac{1000 \times g}{1} = \frac{M_2 \times g}{0.01}$$1000 = \frac{M_2}{0.01}$$M_2 = 1000 \times 0.01 = 10 \ kg$.Thus,a mass of $10 \ kg$ needs to be placed on piston $(P_2)$ to lift the $1000 \ kg$ mass.

Class 11 Physics Fluid Mechanics and Surface Tension Pascal's Law

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$A$ hydraulic lift as shown in the figure is used to lift a mass of $1000 \ kg$,which is placed on a piston $(P_1)$ of area $1 \ m^2$. If the cross-section area of the piston $(P_2)$ at the other end is $0.01 \ m^2$,then how much mass needs to be put on it to lift the $1000 \ kg$ (in $kg$)?

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A
$1$
B
$10$
C
$50$
D
$100$

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Class 11

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Fluid Mechanics and Surface Tension

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Pascal's Law

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$A$ hydraulic lift as shown in the figure is used to lift a mass of $1000 \ kg$,which is placed on a piston $(P_1)$ of area $1 \ m^2$. If the cross-section area of the piston $(P_2)$ at the other end is $0.01 \ m^2$,then how much mass needs to be put on it to lift the $1000 \ kg$ (in $kg$)?

Similar Questions

The diameters of two pistons of a hydraulic press are $0.1\, m$ and $0.6\, m$ respectively. What is the mechanical advantage of the hydraulic press,assuming the effort is applied directly on the pump plunger?

$A$ hydraulic automobile lift is designed to lift cars with a maximum mass of $3000 \, kg$. The area of cross-section of the piston carrying the load is $425 \, cm^{2}$. What is the maximum pressure the smaller piston would have to bear?

The area of cross-section of the wider tube shown in the figure is $800 \ cm^2$. If a mass of $12 \ kg$ is placed on the massless piston,the difference in heights $h$ in the level of water in the two tubes is ........ $cm$.

Increase in pressure at one point of the enclosed liquid in equilibrium of rest is transmitted equally to all other points of liquid. This is as per ...........

$A$ hydraulic automobile lift is designed to lift vehicles of mass $5000\,kg$. The area of cross-section of the cylinder carrying the load is $250\,cm^2$. The maximum pressure the smaller piston would have to bear is [Assume $g = 10\,m/s^2$].

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