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.

A physical quantity Q is found to depend on quantities x,y,z obeying r

1.	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.
Answer» SOLUTION :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%`