Question

The least count of a stopwatch is 1/5 second. The time of 20 oscillation of a pendulum is measured to be 25 second s. The maximum percentage error in the measurement of time will be

Answer 1

Answer:

4%

Explanation:

Number of oscillations = 20

Total time taken for 20 oscillation = 25 sec.

Time period = 25/20 = 1.25 sec

Least count of watch = 0.2 sec

The measurement of time period 1.25 measuring watch can measure upto 0.2 s thus , the watch can measure 1.2 s but the uncertainity remains in the 0.05 s.

1.25s = 1.2 + 0.05

Thus, error = 0.05 sec

Percentage error = (0.05/1.25) x 100 = 4%

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