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

The period of oscillation of a simple pendulum is . Measured value of L is 10 cm know to 1 mm accuracy and time for 100 oscillations of the pendulum is found to be 50 s using a wrist watch of 1 s resolution. What is the accuracy in the determination of g?

A
2%
B
3%
C
4%
D
5%

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Verified by Experts
The correct answer is:
D

Here ,

Squaring both sides, we get

The relative error in g is

Here, and

The errors in both L and t are the least count errors

The percentage error in g is

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