Pascal's Principle

Q.

Explain pascal's law.

Q. The thrust $F$ is exerted on area $2A$ and thrust $3F$ is exerted on area $\frac{A}{2}$. Find the ratio of pressure exerted.

1. $1:2$
2. $1:3$
3. $1:9$
4. $1:12$

Q. If $F$ force is applied on area $\frac{A}{2}$, the value of pressure is $P_1$. If we change the force to $2F$ and area to $2A$, then calculate the change in pressure.

Q.

Fill in the blank to make the statement true:

${\left(\frac{11}{15}\right)}^4\times {\left(\_\_\_\right)}^5={\left(\frac{11}{15}\right)}^9$

Q. Where do we use Pascal's law?

1. To lift heavy weights
2. In lactometer
3. In hydraulic system
4. In cycling

Q. If $F$ force is applied on area $\frac{A}{2}$, the value of pressure is $P_1$. If we change the force to $2F$ and area to $2A$, then calculate the change in pressure.

Q. Hydraulic machine's working is based on the Pascal's Law.

1. True
2. False

Q. If $F$ force is applied on area $\frac{A}{2}$, the value of pressure is $P_1$. If we change the force to $2F$ and area to $2A$, then calculate the change in pressure.

1. $\frac{F}{A}$
2. $\frac{F}{2A}$
3. $\frac{2F}{A}$
4. Zero

Q. In the given system, if we change $A_1$ into $2A_1$ , $A_2$ into $\frac{A_2}{2}$ and $F_1$ into $10F_1$, then pressure at B piston changes from $P$ to $P_0$. Calculate the ratio of $P$ and $P_0$.

1. $1:10$
2. $1:5$
3. $1:20$
4. $1:10$

Q. In the top view of a system, area of each piston is different. Which of the following statement is false? Assume the height of the pistons to be the same.

1. Pressure at each piston will be different.
2. Piston having higher area will experience lesser force.
3. Piston having lower area will experience larger force.
4. Pressure at all pistons will be equal.

Q.

give two uses of fluid pressure

Q. The value of $F_1=10N$, $F_2=50N$ and the value of $A_1=0.2m^2$. Find out the value of $A_2$.

1. 0.2 $m^2$
2. 1 $m^2$
3. 0.4 $m^2$
4. 2 $m^2$

Q.

Two pistons A and B, of a pascal tube, have diameters of 5 cm and 25 cm respectively. If a hammer strikes piston A with a force of 5 N, what force will be experienced by piston B? What will be the instantaneous acceleration of piston B?
$Take,m_B=10kg;andg=10m/s^2$
\( \int \)

1. $625N,2.5m/s^2$
2. $125N,10m/s^2$
3. $125N,2.5m/s^2$

4. $520N,2.5m/s^2$

Q. The two light pistons A and B shown in the figure have area 'na' and 'a' respectively. The rod has cross sectional area S, Young's modulus Y and length L. A force F is applied on the piston B. (Assume liquid is incompressible)

1. the force acting on the rod by the piston A is nF.
2. the force acting on the rod by the piston A is F/n.
3. the compression in the length of the rod due to the force exerted by the piston is $\frac{nFL}{SY}$
4. the compression in the length of the rod due to the force exerted by the piston is $\frac{FL}{nSY}$

Q. When pressure on any portion of a confined liquid is changed, the pressure
of every part doesn't change. Is the statement true or false

1. True
2. False

Q. A boy of $45kg$ weight is standing on the piston of cross sectional area $900c{m}^2$. Find the difference in the levels of water in the two tubes.

1. $5cm$

2. $0.50cm$

3. $50m$

4. $50cm$

Q.

Pascal's law states that a pressure change occurring anywhere in a confined incompressible fluid is transmitted throughout the fluid.

1. False

2. True