Properties Of Solids And Liquids Question 411
Question: A pendulum clock is 5 seconds fast at temperature of $ 15{}^\circ C $ and 10 seconds slow at a temperature of$ 30{}^\circ C $ . At what temperature does it give the correct time? (take time interval = 24 hours)
Options:
A) $ 18{}^\circ C $
B) $ 20{}^\circ C $
C) $ 22{}^\circ C $
D) $ 25{}^\circ C $
Show Answer
Answer:
Correct Answer: C
Solution:
[c] $ \Delta t=\frac{1}{2}\alpha \Delta T\times t $
$ \therefore 5=\frac{1}{2}\alpha ( T-15 )\times 86400 $
and $ 10=\frac{1}{2}\alpha ( 30-T )\times 86400 $
