A force F is applied on a square area of side | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

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

Vedclass · Accepted Answer

$8$

Vedclass · Answer

(D) Pressure $P$ is defined as the force $F$ per unit area $A$. For a square of side $L$,the area is $A = L^2$.Thus,$P = \frac{F}{L^2}$.The relative error in pressure is given by the formula: $\frac{\Delta P}{P} = \frac{\Delta F}{F} + 2 \frac{\Delta L}{L}$.To find the maximum percentage error,we multiply by $100 \%$:$\frac{\Delta P}{P} 	imes 100 \% = \left( \frac{\Delta F}{F} 	imes 100 \% ight) + 2 \left( \frac{\Delta L}{L} 	imes 100 \% ight)$.Given $\frac{\Delta F}{F} 	imes 100 \% = 4 \%$ and $\frac{\Delta L}{L} 	imes 100 \% = 2 \%$.Substituting these values: $\frac{\Delta P}{P} 	imes 100 \% = 4 \% + 2(2 \%) = 4 \% + 4 \% = 8 \%$.

$A$ 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?

Similar Questions

The major product in the following reaction is:

In the equation $log S = log C + Z log A$,what does $S$ represent?

If $X$ is a Poisson variate such that $P(X=1)=P(X=2)$,then $P(X=4)$ is equal to

The efficiency of a Carnot engine is $50\%$ and the temperature of the sink is $500\,K$. If the temperature of the source is kept constant and its efficiency is raised to $60\%$,then the required temperature of the sink will be .... $K$.

$HCl$ is added to the following oxides,which one would give $H_2O_2$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module