Formula `W=(a^(4)b^(3))/(c^(1)/(3) sqrt(d))` and if percentage error in the measurement of a, b, c d are 2%, 1%, 6% and 4% respectively, then calculate the percentage error in W.

Options

A. 0.15
B. 0.14
C. 0.21
D. 0.16

Explanation

`W=(a^(4)b^(3))/(c^(1)/(3) sqrt(d))`
`:.(DeltaW)/(W)xx100=(4(Deltaa)/(a)xx100+3(Deltab)/(b)xx100+(1)/(3)(Deltac)/(c)xx100+(1)/(2)(Deltad)/(d)xx100)`
`:.(DeltaW)/(W)xx100=4xx2%+3xx1%+(1)/(2)xx4%`
`=8%+3+2%+2%`
`=15%`