A physical quantity is given is `y = (a b^(3))/(c^(2)) . "If" Deltaa, Deltab, Deltac` are absolute errors, the possible fractional error in y is .........

Options

A. `(Deltay)/(y) =(DeltaaDeltab)/(2Deltac)`
B. `(Deltay)/(y) = (Deltaa)/(a) +3 (Deltab)/(b) + 2 (Deltac)/(c)`
C. `(Deltay)/(y) = (Deltaa)/(a) + ((Deltab)/(a))^(3) + ((Deltac)/(c))^(2)`
D. `(Deltay)/(y)= (Deltaa)/(a) + (Deltab)/(a) + (Deltac)/(c)`

Answer

B

Explanation

`(Deltay)/(y) = (Deltaa)/(a) + (Deltab)/(b) + 2 (Deltac)/(c)`