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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 |
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Answer» iven x=c1/2d1/2a3b2On taking log and differentiating, we getxΔx =3aΔa +2bΔb +(21)cΔc +(21)dΔd ⇒ Percentage error in x=3(1)+2(3)+21(4)+21(2)=12% |
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