Question

A force acts on an area to produce a pressure equal to 200 Pa. When both the force and area of contact are reduced to half, the new pressure would be_______.

• A. equal to 200 Pa
• B. equal to 300 Pa
• C. equal to 100 Pa
• D. equal to 400 Pa

Answer 1

The correct option is A equal to 200 Pa

We know that
Pressure (P) = Force (F) / Area (A)
Given,
Pressure, P = 200 Pa

New force, F' = F/2
New area, A' = A/2
Thus,
New pressure, P' = F' / A' = (F/2) / (A/2) = F / A = P
Clearly, P' = P = 200 Pa