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

Question

A force F is applied on a square plate of side L. If percentage error in determination of L is 2% and that in F is 4%, permissible error in pressure is (A) 2% (B) 4% (C) 6% (D) 8%

Tardigrade Admin · Accepted Answer

Pressure = ( force / area ) = ( F / L2 ) ∴ ( dp / p ) × 100 = ( ( dF / F ) + ( 2 dL / L) ) × 100 = 4 + 2 × 2 = 8%

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

2%

4%

6%

8%

5%

Pressure = $\frac{f orce}{a re a} = \frac{F}{L ^{2}}$
$∴ \frac{d p}{p} \times 100 = (\frac{d F}{F} + \frac{2 d L}{L}) \times 100$
= 4 + 2 $\times$ 2 = 8%

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

2%

4%

6%

8%

5%

Pressure = areaforce​=L2F​ ∴pdp​×100=(FdF​+L2dL​)×100 = 4 + 2 × 2 = 8%

Pressure = $\frac{f orce}{a re a} = \frac{F}{L ^{2}}$
$∴ \frac{d p}{p} \times 100 = (\frac{d F}{F} + \frac{2 d L}{L}) \times 100$
= 4 + 2 $\times$ 2 = 8%