Let `x={:[(a^(2)b^(2))/(c)]:}` be the physical quantity. If the percentage error in the measurement of physical quantities a,b, and c is 2,3 and 4 per cent respectively, then percentage error in the measurement of x is

Options

A. `7%`
B. `14%`
C. `21%`
D. `28%`

Answer

B

Explanation

Hint and solution :
`(Deltax)/( x) =2 (Deltaa)/(a)+2 (Deltab)/(b)+ (Deltac)/(c)`
`=2' 2% 2'3 %+4%`
`(Deltax)/(x) =14%`