JEE Physics · Hard

Errors and Measurements: Error — Time Period MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Error — Time PeriodHardQuestion 30185

Question

A student times 20 oscillations with a stopwatch (LC = 0.01 s) and gets 40.06 s. The time period T and its error are:
  1. A
    2.003 ± 0.001 s
  2. B
    2.003 ± 0.0005 s
    Correct
  3. C
    2.003 ± 0.005 s
  4. D
    40.06 ± 0.01 s

Correct answer

2.003 ± 0.0005 s

Explanation

T = 40.06/20 = 2.003 s. Error in total time = 0.01 s (LC). Error in T = 0.01/20 = 0.0005 s. Report: 2.003 ± 0.0005 s.