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A force F is applied on a square plate o...

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?

A

`2%`

B

`6%`

C

`4%`

D

`8%`

Text Solution

Verified by Experts

The correct Answer is:
d
Pressure = `("Force")/("Area")therefore P=(F)/(L^(2))`
`therefore (DeltaP)/(P)=(DeltaF)/(F)+2(DeltaL)/(L)=(4)/(100)+2xx(2)/(100)`
`therefore (DeltaP)/(P)=(8)/(100)=8%`
Note that errors are added.
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