Question

The pressure on a square plate is measured by

Answer 1

Given:
Percentage error in force =$4\%$
Percentage error in length =$2\%$
As we know,
$P=\frac{F}{A}$
Area of square plate, $A=l^2$
Therefore,
Maximum percentage error in the measurement of pressure is given by,
$\frac{\Delta P}{P}\times 100=\frac{\Delta F}{F}\times 100+2\times \frac{\Delta l}{l}\times 100\frac{\Delta P}{P}\times 100=\frac{4}{100}\times 100+2\times \frac{2}{100}\times 100\frac{\Delta P}{P}\%=8\%$

Final answer: $8\%$