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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 metal of the rod is 2 x 10-6 per°C, the period of the pendulum will have percentage increase of

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a

-2 x 10-3

b

-1 x 10-3

c

2 x 10-3

d

1 x 10-3

answer is D.

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Detailed Solution

We know that =2π(l/g)∴ΔT=2π21lg1/2⋅Δl or ΔTT=Δl2l=12αΔt =2×10−6(10)2=1×10−5or ΔTT×100=1×10−5×100 =1×10−3%

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