A body travels uniformly a distance of (13.8 ± ± 0.2) m in …

Physics Units, Dimensions and Measurement Errors of Measurement Single Correct MCQ

Published on: September 12, 2026

A body travels uniformly a distance of (13.8 ± ± 0.2) m in a time (4.0 ± ± 0.3) s. The velocity of the body within error limits is

(3.45 ± ± 0.2) ms ^-1

(3.45 ± ± 0.3) ms ^-1

(3.45 ± ± 0.4) ms ^-1

(3.45 ± ± 0.5) ms ^-1

Text Solution

Verified by Experts

The correct answer is:

Here, \(S = (13.8 \cdot 0.2)\) m

and \(t = (4.0 \cdot 0.3)\) sec

Expressing it in percentage error, we have,

\(S -13.8 \pm \frac{0.2}{13.8} \times 100\% = -13.8 \pm 1.4\%\)

and \(t - 4.0 \pm \frac{0.3}{4} \; 100\% - 4 \pm 7.5\%\)

\(\therefore v = \frac{s}{t}\) \(-\frac{13.8 \cdot 1.4}{4 \cdot 7.5} = -\{3.45 \pm 0.3\} \, m/s.\)

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