Question

A perpendicular force is applied to a certain area and produces a pressure $P$. If the same force is applied to a twice bigger area, the new pressure on the surface is:

• A. $\frac{P}{2}$
• B. $\frac{P}{3}$
• C. $\frac{P}{4}$
• D. none

Answer 1

The correct option is A $\frac{P}{2}$

We know that pressure is force per unit area

$\Rightarrow P=\frac{F}{A}$

Given that for the former one , $P=\frac{F}{A}$

For the later one , the area is doubled and force is kept constant. So the pressure will become half

Therefore the pressure for new system is $\frac{P}{2}$

So the correct option is $A$