Question

The pressure on a square plate is measured by measuring the force on the plate. If the maximum error in the measurement of force and length are respectively $4\%$ and $2\%$, then the maximum error in the measurement of pressure is

• A. 1 %
• B. 2 %
• C. 4 %
• D. 8 %

Answer 1

Answer: (D)

We have,
Pressure $=\frac{\text{ Force }}{\text{ Area }}=\frac{F}{L^2}$
$\therefore \frac{\Delta p}{p}=\frac{\Delta F}{F}+\frac{2\Delta L}{L}$
$=4\%+2(2\%)=8\%$