The pressure on a square plate is measured by measuring the force on the plate and the length of the sides of the plate . If the maximum error in the measurement of force and length are , respectively , `4% and 2%`. Find the maximum error in the measurement of pressure.

Options

A. `1%`
B. `2%`
C. `6%`
D. `8%`

Answer

D

Explanation

`P= (F)/(A) = (F)/(L^(2)) " "` For max. error
`(Delta P)/(P) xx 100 = (Delta F)/(F) xx 100 +(2 Delta L)/(L ) xx 100
`" " = 4% + 2(2%) = 8%`