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Question

A uniform metal rod is used as a bar pendulum. If the room temperature rises by 10oC and the coefficient of linear expansion of the metal of the rod is 2×106 per oC, the period of the pendulum will have percentage increases of

A
2×103
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B
1×103
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C
2×103
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D
1×103
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Solution

The correct option is D 1×103
We know that, T=2πlg
So, ΔT=2π2.(1lg).Δl
So, ΔTT=Δl2l=12αΔθ
=(2×106)(10)2=1×105
or ΔTT×100=1×105×100=1×103%

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