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Question

In the measurement of the acceleration due to gravity using a simple pendulum, the percentage error in the measured value of the length of the pendulum is 2% and that in the time period of oscillation is 1%. The percentage error in the measured value of the acceleration due to gravity is


A

4%

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B

5%

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C

6%

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D

3%

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Solution

The correct option is A

4%


T=2πlgg=4π2lT2

Δgg=ΔlT+2ΔTT

(%Δgg)=(%Δll)+2(%ΔTT)

Δgg(in%)=2%+2×1%=4%


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