The least count of a stop watch is 1/5 second. The time of 20 oscillations of a pendulum is measured to be 25 seconds. The maximum percentage error in the measurement of time will be
1)0.1% 2)0.8% 3)1.8% 4)8%
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Answer:
Number of oscillation =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 the 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.
1.25 s=1.2+0.05
Thus, error =0.05 sec
Percentage error =(0.05/1.25)×100=4%
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