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}}% $
