Properties Of Solids And Liquids Question 592
Question: A uniform metal rod is used as a bar pendulum. If the room temperature rises by $ 10{}^\circ C $ , and the coefficient of linear expansion of the metal of the rod is $ 2\times {{10}^{-6}}\text{per}{}^\circ C $ , the period of the pendulum will have percentage increase of
Options:
A) $ -2\times {{10}^{-3}} $
B) $ -1\times {{10}^{-3}} $
C) $ 2\times {{10}^{-3}} $
D) $ 1\times {{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}}% $
