Physics

# 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 :

$8\%$

##### SOLUTION
As per question,
Error in the measurement of the force$=4\%$
Error in the measurement of the length $=2\%$
Pressure $=\dfrac{force}{area}=\dfrac{F}{L^2}$
$\therefore \dfrac{\triangle p}{p}=\dfrac{\triangle F}{F}+\dfrac{2\triangle L}{L}=4\% +2(2\%)$
$=8\%$
So the maximum error in the measurement of the pressure is $=8\%$

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