An experiment measures quantites `a, b, c` and `X` is calculated from the formula
`X = (ab^(2))/(c^(3))`
If the percentage errors in `a,b,c` are `+- 1%, +- 3%, +- 2%` respectively, the perentage error in `X` can be

Options

A. `+- 13%`
B. `+-7%`
C. `+-4%`
D. `+-1%`

Answer

A

Explanation

(1) `X = (ab^(2))/(c^(3))`
`(Delta X)/(X) = (Delta a)/(a) + 2 (Delta b)/(b) + 3 (Delta c)/(c )`
`(Delta X)/(X) xx 100 = 1 + 2 xx 3 + 3 xx 2 = 13%`