Question

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%`

Answer 1

Correct Answer - 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%`