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?

Options

A. `2%`
B. `4%`
C. `6%`
D. `8%`

Answer

D

Explanation

Pressure `P = ("Force")/("Area")= (F)/(L^(2))` [`:.` Area of square= `L^(2)`]
The permissible percentage error in determining the pressure is `(DeltaP)/(P)xx 100= (DeltaF)/(F)xx 100+ 2(DeltaL)/(L)xx 100`
`:. (DeltaP)/(P)xx 100= 4%+2 xx 2%= 4%+ 4 %= 8%`