A physical quantity x is given by x = (a^(2)b^(3))/(csqrtd) . If the percentage errors of measurement in a, b, c and d are 4%, 2%, 3% and 1% respectively, then calulate the percentage error in the calculation of x.

A physical quantity x is given by x = (a^(2)b^(3))/(csqrtd) . If the p

1.	A physical quantity x is given by x = (a^(2)b^(3))/(csqrtd) . If the percentage errors of measurement in a, b, c and d are 4%, 2%, 3% and 1% respectively, then calulate the percentage error in the calculation of x.
Answer» Solution :Given x = `(a^(2)b^(3))/(csqrtd)` The PERCENTAGE ERROR in x is given by `(Deltax)/(x) xx 100 = 2 (Deltaa)/(a) xx 100 + 3(Deltab)/(b) xx 100 + (DELTAC)/(c) xx 100 + 1/2 (Deltad)/(d) xx 100` = `(2xx4%)+(3xx2%)+(1xx3%)+(1//2xx1%)` = `8% + 6% + 3% + 0.5%` The percentage error is x = `17.5%`