A uniform metal rod is used as a bar pendulum. If the room temperature rises by 10∘C, and the coefficient of linear expansion of the rod is 2×10−6/∘C, the period of the pendulum will have a percentage increase of
A
2×10−3
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B
3×10−3
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C
4×10−3
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D
1×10−3
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Solution
The correct option is D1×10−3 Given: Change in temperature, Δt=10∘C Coefficient of linear expansion of rod, α=2×10−6/∘C To find: Percentage change in time period, ΔT=? We know that, Fractional change in time period is given by ΔTT=12αΔt =12×2×10−6×10=10−5 Now, % change, =ΔTT×100=10−5×100=10−3%