Time intervals measured by a clock give the following readings: 1.25… | NEET 2020 (Phase 2)

Q90NEET 2020 · PHASE 2Easy

Errors in Measurement

Time intervals measured by a clock give the following readings:

1.25 s, 1.24 s, 1.27 s, 1.21 s and 1.28 s

What is the percentage relative error of the observations?

Show answer and solution

Answer: (a)

Mean $= \frac{6.25}{5} = 1.25\ \text{s}$
Absolute errors: $0, 0.01, 0.02, 0.04, 0.03$ ; mean absolute error $= \frac{0.10}{5} = 0.02\ \text{s}$
Relative error $= \frac{0.02}{1.25} \times 100 = 1.6\%$
So the answer is (a).

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