A physical quantity Q is found to depend on observables x, y and z, obeying relation `Q=(x^(3)y^(2))/(z)`. The percentage error in the measurements of x, y and z are 1% , 2% and 4% respectively. What is percentage error in the quantity Q ?

Options

A. `4%`
B. `3%`
C. `11%`
D. `1%`

Answer

C

Explanation

`(Delta Q)/(Q) = 3(Delta x)/(x) + 2(Delta y)/(y) + (Delta z)/(z) = 3 xx 1 + 2 xx 2 + 4 = 11%`