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Relative (or fractional) error δ a in a measurement is defined as ______.

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Question

Relative (or fractional) error δ a in a measurement is defined as ______.

Options

  • \[\delta a=\frac{\Delta a}{a_m}\]

  • \[\delta a=\frac{a_m}{\Delta a}\]

  • \[\delta a=\Delta a\times a_m\]

  • \[\delta a=\frac{\Delta a}{n}\]

MCQ
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Solution

Relative (or fractional) error δ a in a measurement is defined as \[\delta a=\frac{\Delta a}{a_m}\].

Explanation:

Relative error is the ratio of the mean absolute error to the mean value of the measured quantity, and it is dimensionless.

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