Question

If the force on the surface is doubled and the area is reduced to half, pressure will

• A. become 2 times
• B. becomes 3 times
• C. become 4 times
• D. remain unchanged

Answer 1

Answer: (C)

become 4 times

We have ,

$pressure=force/area$

or $P=F/A$ ................eq1

Now , if $F^{\prime }=2F,A^{\prime }=A/2$

then $P^{\prime }=2F/\left(A/2\right)=4\left(F/A\right)$

or $P^{\prime }=4P$

Pressure will become 4 times .