An experiment measured quantity a, b, c and then x is calculated from `x = ab^(2)//c^(3)`. If the percentage error in a, b, c are `pm` 1%, `pm` 3% and `pm` 2% respectively, the percentage error in x can be,

Explanation

Here,
`(Delta a)/(a) xx 100 = pm 1%, (Deltab)/(b) xx 100 = +3 %, (Delta c)/(c ) xx 100 = +2 %`
`x = (ab^2)/(c^3)`
Maximum percentage error in x is
`(Deltax)/(x) xx 100 = (Delta a)/(a) xx 100 + 2 (Delta b)/(b) xx 100 + 3 (Delta c)/(c) xx 100`
`= 1 + (2 xx 3) + (3 xx 2) = 13%`.
Maximum percentage error in x is 13%.