Question

A physical quantity `x` is calculated from the relation `x = ( a^(2) b^(3))/(c sqrt( d))`. If the percentage error in `a, b , c , and d are 2% , 1% , 3%, and 4%`, respectively , what is the percentage error in `x`?
A. `+-11%`
B. `+-13%`
C. `+-12%`
D. `+-14%`

Answer 1

`(Deltax)/(x)= +-((2Deltaa)/(a)+(3Deltab)/(b)+(Deltac)/(c )+(Deltad)/(2d))`
`=+-(2xx2+3xx1+3+(1)/(2)xx4)= +- 12%`