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(A) Pressure $P$ is defined as force per unit area. For a square plate of side $L$,the area $A = L^2$.Thus,$P = \frac{F}{A} = \frac{F}{L^2}$.The relat

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$7$

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(A) Pressure $P$ is defined as force per unit area. For a square plate of side $L$,the area $A = L^2$.Thus,$P = \frac{F}{A} = \frac{F}{L^2}$.The relative error in pressure is given by $\frac{\Delta P}{P} = \frac{\Delta F}{F} + 2 \frac{\Delta L}{L}$.Given,$\frac{\Delta F}{F} 	imes 100 = 3 \%$ and $\frac{\Delta L}{L} 	imes 100 = 2 \%$.Substituting these values,the percentage error in pressure is $\frac{\Delta P}{P} 	imes 100 = 3 \% + 2 	imes (2 \%) = 3 \% + 4 \% = 7 \%$.

$A$ force $F$ is applied on a square plate of side $L$. If the percentage error in determining $F$ is $3 \%$ and that in $L$ is $2 \%$,then the percentage error in determining the pressure is (in $\%$)

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