The accuracy in. measurement depends on the limit or the resolution of the measuring instrument. A physical quantity P is related to four observables a, b, c and d as P=(a^3b^2)/sqrt(cd) percentage errors in measurements of a, b, c and d are 1%,3%,2% and 3% respectively. What is the percentage error in the measurement ofP?

The accuracy in. measurement depends on the limit or the resolution of

1.	The accuracy in. measurement depends on the limit or the resolution of the measuring instrument. A physical quantity P is related to four observables a, b, c and d as P=(a^3b^2)/sqrt(cd) percentage errors in measurements of a, b, c and d are 1%,3%,2% and 3% respectively. What is the percentage error in the measurement ofP?
Answer» Solution :`(DELTAP)/Pxx100=3xx(DELTAA)/axx100+2xx(DELTAB)/bxx100+1/2xx(DELTAC)/cxx100+(Deltad)/(d)xx100=3xx1+2xx3+1/2xx2+3=13%`