High School

The mean time period of a seconds pendulum is 5.00 s and the mean absolute error in the time period is 0.10 s. Any measurement of the time period will be:
(a) 4.90 s to 5.10 s
(b) 4.90 s to 5.00 s
(c) 4.90 s to 5.20 s
(d) 4.80 s to 5.00 s

Answer :

Final answer:

Any measurement of the time period of a pendulum with a mean of 5.00 s and an absolute error of 0.10 s will be within the range of 4.90 s to 5.10 s. (a) 4.90 s to 5.10 s

Explanation:

The question you are asking concerns the measurement of the time period of a pendulum and how to report this measurement given an absolute error. In this case, since the mean time period of the pendulum is 5.00 seconds with an absolute error of 0.10 seconds, any measurement of the time period is likely to be within 0.10 seconds of that mean. Therefore, the range of the time period measurements would be from 5.00 - 0.10 = 4.90 seconds to 5.00 + 0.10 = 5.10 seconds.

Hence, the correct answer to the question is (a) 4.90 s to 5.10 s.

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