1.

the certain physical quantity is given by the formula X=ABC/de.the percentage error in a,b,c,d and e are 1%,1.5%,2%,1.25%and 0.25% respectively.the percentage error in the measurement of X is​

Answer»

\boxed{X = \dfrac{abc}{de} }

So, for SMALL changes in values of a,b,C,d,e (< 6%), we will say:

\rm \implies \dfrac{ \Delta X}{X} = \dfrac{ \Delta a}{a} + \dfrac{ \Delta b}{b} + \dfrac{ \Delta c}{c} +\dfrac{ \Delta d}{d} + \dfrac{ \Delta e}{e}

\rm \implies \dfrac{ \Delta X}{X} = 1\% + 1.5\% + 2\% + 1.25\% + 0.25\%

\rm \implies \dfrac{ \Delta X}{X} = 6\%

So, MAX error of X is 6%.


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