A force F is applied on a square plate of side L. If the percentage error in the determination of L is 2% and that in F is 4%. What is the permissible error in pressure?

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Solution

The correct option is A 8%
$P = \frac{F}{L^{2}}$

$\frac{δ P}{P} = \frac{δ F}{F} + 2 \frac{δ L}{L}$

$\frac{δ P}{P} = 4$ % $+ 2 \times 2$ % $= 8$ %

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A force F is applied on a square plate of side L. If the percentage error in the determination of L is 2% and that in F is 4%. What is the permissible error in pressure?

The correct option is A 8%P=FL2 δPP=δFF+2δLLδPP=4%+2×2% =8 %

The correct option is A 8%
$P = \frac{F}{L^{2}}$

$\frac{δ P}{P} = \frac{δ F}{F} + 2 \frac{δ L}{L}$

$\frac{δ P}{P} = 4$ % $+ 2 \times 2$ % $= 8$ %