A force F is applied on a square area of side L . If percentage error in measurement of L is 2 % and

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1.Units, Dimensions and Measurement

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A force $F$ is applied on a square area of side $L$. If the percentage error in the measurement of $L$ is $2 \%$ and that in $F$ is $4 \%$, what is the maximum percentage error in pressure is .......... $\%$

A

$2$

B

$4$

C

$6$

D

$8$

Solution

(d)

Pressure $=\frac{\text { Force }}{\text { Area }}$

$\frac{\Delta P}{P} \times 100 \%=\frac{\Delta F}{F} \times 100 \%+\frac{2 \Delta L}{L} \times 100 \%=4 \%+2 \times 2 \%$

$\frac{\Delta P}{P} \times 100 \%=8 \%$

Standard 11

Physics

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