Physics

# If X=a+b, the maximum percentage error in the measurement of X will be

##### SOLUTION
If $x=a+b$
Let $\triangle a$ and $\triangle b$ be the absolute error in a & b
respectively.
Let error in x be $\triangle x$  $x=a+b$
maximum possible value of $\triangle x=\triangle a+\triangle b$
Relative error 1 $\dfrac{\triangle x}{x}=\dfrac{\triangle a+\triangle b}{a+b}$
Percentage of error $\dfrac{\triangle x}{x}\%= \left[\left(\dfrac{\triangle a+\triangle b}{a+b}\right)100\right]\%$

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Subjective Medium Published on 18th 08, 2020
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