Properties Of Solids And Liquids Question 469

Question: 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 ´ 10-6 per °C, the period of the pendulum will have percentage increase of [NSEP 1992]

Options:

A) - 2 ´ 10-3

B) - 1 ´ 10-3

C) 2 ´ 10-3

D) 1 ´ 10-3

Show Answer

Answer:

Correct Answer: D

Solution:

Fractional change in period $ \frac{\Delta T}{T}=\frac{1}{2}\alpha \Delta \theta =\frac{1}{2}\times 2\times {{10}^{-6}}\times 10={{10}^{-5}} $ %

change$ =\frac{\Delta T}{T}\times 100={{10}^{-5}}\times 100={{10}^{-3}}% $



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