Physics Units, Dimensions and Measurement NTA Abhiyas Question - Units and Dimensions MCQ (Single Correct)

The accuracy in the measurement of time for 20 oscillations of a pendulum for the following measurements, t 1 = 39.6 s, t 2 = 39. 9 s and t 3 = 39 .5 s, is

A
±0. 2 s
B
±0. 3 s
C
±0. 5 s
D
±0. 4 s

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Text Solution

Verified by Experts
The correct answer is:
A

±0. 2 s

Given, t 1 = 39.6 s

t 2 = 39.9 s

t 3 = 39.5s

Least count of measuring instrument = 0.1 s

[As measurements have only one decimal place] Precision in the measurement = Least count of the measuring instrument = 0.1 s Mean value of time for 20 oscillations

Absolute errors in the measurements

t 1 = t – t 1 = 39.7 - 39.6 = 0.1s

t 2 =t-t 2 = 39.7 - 39.9 = -0.2s

t 3 = t - t 3 = 39.7 - 39.5 = 0.2s

Mean absolute error

(rounding-offupto one decimal place).

Accuracy of measurement = ±0.2 s

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