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 $



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