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Question

Physics Question on simple harmonic motion

The least count of a stop watch is 0.2s0.2\, s. The time of 2020 oscillations of a pendulum is measured to be 25s25\, s. The percentage error in the time period is

A

16%16\%

B

0.8%0.8\%

C

1.8%1.8\%

D

8%8\%

Answer

0.8%0.8\%

Explanation

Solution

Δt=0.2s\Delta t=0.2\,s t=25st=25\,s T=tNΔTT=Δtt=0.225T=\frac{t}{N} \,\Rightarrow \, \frac{\Delta T}{T}=\frac{\Delta t}{t}=\frac{0.2}{25} =0.8%=0.8\%