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Questions  

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

a
-2 x 10-3
b
-1 x 10-3
c
2 x 10-3
d
1 x 10-3

detailed solution

Correct option is D

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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