The error in the measurement of force acting | vedclass

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(C) Pressure $P$ is defined as force $F$ per unit area $A$, so $P = F/A$.For a square plate of side $s$, the area $A = s^2$.Therefore, $P = F/s^2$.The

Vedclass · Accepted Answer

$5$

Vedclass · Answer

(C) Pressure $P$ is defined as force $F$ per unit area $A$, so $P = F/A$.For a square plate of side $s$, the area $A = s^2$.Therefore, $P = F/s^2$.The relative error in pressure is given by $\frac{\Delta P}{P} = \frac{\Delta F}{F} + 2 \frac{\Delta s}{s}$.Given, $\frac{\Delta F}{F} 	imes 100 = 3 \%$ and $\frac{\Delta s}{s} 	imes 100 = 1 \%$.Substituting these values, the percentage error in pressure is $\frac{\Delta P}{P} 	imes 100 = 3 \% + 2(1 \%) = 3 \% + 2 \% = 5 \%$.Thus, the correct option is $C$.

The error in the measurement of force acting normally on a square plate is $3 \%$. If the error in the measurement of the side of the plate is $1 \%$, then the error in the determination of the pressure acting on the plate is (in $\%$)

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