Question

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 $P_0$.

• A. $1:5$
• B. $1:10$
• C. $1:20$
• D. $1:10$

Answer 1

The correct option is A $1:5$

Given:
Accoding to the Pascal's law, Pressure at both piston is equal.
$P_1=P_2$
$\frac{F_1}{A_1}=\frac{F_2}{A_2}=P$

If we apply changes in the above equation,
$\frac{10F_1}{2A_1}=P_0$
$P_0=\frac{5F_1}{A_1}$
Then the ratio of $P$ and $P_0$.
$\frac{P}{P_0}=\frac{\frac{F_1}{A_1}}{\frac{5F_1}{A_1}}=1:5$