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In an experiment, we measure the quantit...

In an experiment, we measure the quantities a, b, c and then calculate x by using the formula `x=ab^(3)//c^(2)`. The percentage errors in a, b, c are `pm1%,pm3%andpm2%` respectively. What is the percentage error in x?

A

`pm1%`

B

`pm14%`

C

`pm10%`

D

`pm8%`

Text Solution

Verified by Experts

The correct Answer is:
b
`x=(ab^(3))/(c^(2))`
Since errors are always added
`therefore (Deltax)/(x)=(Deltaa)/(a)+3(Deltab)/(b)+2(Deltac)/(c)`
`=pm1%+3xx3%+2xx2%=14%`
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