The values of a number of quantities are used | vedclass

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(A) The relative error in a quantity $x$ is given by $\frac{\Delta x}{x}$.For a given absolute error $\Delta x$,the relative error is inversely propor

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Having smallest magnitude

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(A) The relative error in a quantity $x$ is given by $\frac{\Delta x}{x}$.For a given absolute error $\Delta x$,the relative error is inversely proportional to the magnitude of the quantity $x$.Therefore,the quantity having the smallest magnitude will contribute the maximum relative error to the final result.To minimize the overall uncertainty in the calculated result,the quantity with the smallest magnitude must be measured with the highest precision and accuracy.Thus,the correct option is $A$.

The values of a number of quantities are used in a mathematical formula. The quantity that should be most precise and accurate in measurement is the one

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