time for 40 oscillation of a pendulum is measured as t1 = 40 9.6 seconds t2 = 49.9 seconds and t3 = 49.5 seconds what is the precision of the measurement of time?
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According to the problem time for 20 oscillations of a pendulum
t
1
=39.6s, t
2
=39.9s, t
3
=39.5s
It is quite obvious from these observations that the least count by the water is 0.1s. As measurements have only one decimal place. Precision in measurement = least count of measuring instrument =0.1s
Precision in 20 oscillations =0.1
Therefore, Precision in 1 oscillation =
20
0.1
=0.005.
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