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cathy Grade:
        


A pendulum clock gives correct time at 20 degree Celsius at a place where g= 9.800 m/s^2. The pendulum consists of a light steel rod connected to a heavy ball. It is taken to a different place where g=9.788 m/s^2. At what temperature will it give correct time?coefficient of linear expansion of steel = 12x 10^-6/ degree celsius.


7 years ago

Answers : (1)

Askiitians Expert Soumyajit IIT-Kharagpur
28 Points
										

Dear Cathy,


Ans: The time period is T=2∏√(L/g)


So if the time period is the same then we get,


T=constant hence L1/L2=g1/g2


Now as the value of g is decreasing and hence temp must be decreased to get the same value of T. Now L2=L1(1-αt)


solving we get,


t= -122 degree


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Regards,


Askiitians Experts
Soumyajit Das IIT Kharagpur

7 years ago
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