1.

If `X=(a^(3)b^(2))/(sqrt(c)d)` and percentage errors in a, b, c and d are `1%, 2%, 4%` and `4%` respectively, then the error in X will beA. `10%`B. `11%`C. `13%`D. `5%`

Answer» Correct Answer - c
`X=(a^(3)b^(2))/(sqrt(c)d)`
`therefore` the relative error in X is
`therefore (DeltaX)/(X)=3(Deltaa)/(a)+2(Deltab)/(b)+(1)/(2)(Deltac)/(c)+(Deltad)/(d)`
(Errors are added)
`therefore%` errors in the measurement of X will be
`(DeltaX)/(X)xx100=3(Deltaa)/(a)xx100+2(Deltab)/(b)xx100`
`+(1)/(2)(Deltac)/(c)xx100+(Deltad)/(d)xx100`
`=3xx1%+2xx2%+(1)/(2)xx4%+4%`
`=3%+4%+2%+4%=13%`


Discussion

No Comment Found

Related InterviewSolutions