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  • A pendulum clock keep correct time at  has a pendulum rod made of brass. How many seconds will it gain or loose per day when te

A pendulum clock keep correct time at 20^{\circ}C has a pendulum rod made of brass. How many seconds will it gain or loose per day when temprature falls to 0^{\circ}C( \alpha =18\times 10^{-6} \ \ ^{\circ}C^{-1})

Option: 1

155.5


Option: 2

15.552


Option: 3

25.55


Option: 4

18.55


Answers (1)

best_answer

As we learned

 

Loss of time in a time period -

\Delta T=\frac{1}{2}\;\alpha\; \Delta\; \theta\; T

Where T represents the total number of second in a day

and T = 86,400 sec

 

So using

\frac{\Delta T}{T}=\frac{1}{2}\alpha \Delta \Theta

or  \Delta T=\frac{1}{2}\times 18\times 10^{-6}\times 20\times 86400

=18\times \0. 864 =  15\cdot 552 sec

Posted by

Sanket Gandhi

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