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A physcial quantity x =a^2 b^(-3//2)/(c^...

A physcial quantity `x =a^2 b^(-3//2)/(c^4)` has a relative error `(Deltax)/(x) =2(Deltaa)/(a) - (3)/(2) (Deltab)/(b) -4(Deltac)/(c )` .is the statement correct?

Text Solution

Verified by Experts

No, as combined error is additive only without
algebraic sign. The correct statement is
`(Deltax)/(x) = 2(Deltaa)/(a) +(3)/(2) (Deltab)/(b) +4(Delta)/(c )`
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