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Q.

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 σ=5.67×10−8 watts m−2K−4 the period of the pendulum will have percentage increase of

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a

−2×10−3

b

−1×10−3

c

2×10−3

d

1×10−3

answer is D.

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Detailed Solution

T=2πLg⇒ℓnT=C+12lnL Differentiate ⇒dTT=0+12dLL=12αΔT⇒dTT×100=12αΔT×100=12×2×10−6×10×100=10−5
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