In the measurement of a physical quantity `X = (A^(2) B)/(C^(1//3) D^(3))`. The percentage erros introduced in the measurments of the quantities `A,B,C` and `D` are `2%,2%,4%` and `5%` respectively. Then the minimum amount of percentage of error in the meaurement fo `X` is contributed by

Options

A. `A`
B. `B`
C. `C`
D. `D`

Answer

C

Explanation

`(Delta X)/(X) xx100 = 2(Delta A)/(A) xx100 + (Delta B)/(B) xx100`
`+ (1)/(3) (Delta C)/(C) xx 100 + (3Delta D)/(D) xx 100`