A uniform metal rod is used as a bar pendulum. If the room temperature rises by 100C, and the coefficient of linear expansion of the metal of the rod is 2 × 10-6 per 0C, 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
Fractional change in period ∆TT = 12α∆θ = 12×2×10-6×10 = 10-5% change = ∆TT×100 = 10-5×100 = 10-3%