A physical quantity Q is found to depend on quantities x,y,z obeying relation Q = `(x^(2)y^(3))/(z^(1))` . The percentage errors in x, y, and z are 2%, 3% and 1% respectively. Find the percentage error in Q.

Explanation

Let Q = `(x^(2)y^(3))/(z)`
It is given, `(Deltax)/(x) = 2%, (Deltay)/(y)= 3%, (Deltaz)/(z) = 1%`
`(DeltaQ)/(Q) = 2((Deltax)/(x)) + 3((Deltay)/(y)) + 1 ((Deltaz)/(z)) = 2(2%) + 3(3%) +1(1%)`
`(DeltaQ)/(Q) = 4% + 9% + 1% = 14%`