a physical quantity x is given by x=(a2 b3) /(c√d) if the percentage errors of measurement in a, b, c, and d are 4%,2%,3%,and 1% respectively, then calculate the percentage error in the calculation of x
Answers
Answered by
6
ANSWER
Given x=c1/2d1/2a3b2
On taking log and differentiating, we get
xΔx =3aΔa +2bΔb +(21)cΔc +(21)dΔd
⇒ Percentage error in x=3(1)+2(3)+21(4)+21(2)=12%
Similar questions