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A physical quantity Q is found ot depend...

A physical quantity Q is found ot depend on observables x, y and z obeying relation `Q=(x^(3)y^(2))/(z).` The percentage error in the measurments of x, y and z are `1%,2%and 4%` respectively. What is percentage error in the quantity Q?

A

0.11

B

0.04

C

1%0

D

0.03

Text Solution

Verified by Experts

The correct Answer is:
A
`Q=(x^(3)y^(2))/(z)`
The percentage error in the quantity Q is
`(DeltaQ)/(Q)xx100=(3(Deltax)/(x)+2(Deltay)/(y)+(Deltaz)/(z))xx100`
`=3((Deltax)/(x)xx100)+2((Deltay)/(y)xx100)+(Deltaz)/(z)xx100`
`=3xx1%+2xx2%+4%=11%`
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