A student performs experiment with simple pendulum and measures time for 10 vibrations . If he measures time for 100 vibrations , the relative error in measurements of time period will be reduced by

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Solution

If the relative error in meauring time period out of 10 measurements is ΔT

Then, the relative error in measuring time period out of 100 measurements is ΔT/10

Thus, reduction in relative error = (ΔT - ΔT/10)/100

Therefore, % reduction = 90%

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