A second pendulum is taken to a planet where the acceleration due to gravity is 9 times that on earth. Calculate the time period of the pendulum on that planet.

Dear student,

T=2πlg

 ​If the value of g is 1/9 the time period will be increase  to three times of the original, as time period is inversely proportional to g.
As the time period for seconds pendulum is 2 sec, so now it will become 6 sec

Regards

 

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If the acceleration due to gravity become 1/9th then the time period will be Triple ,i.e., 6 seconds. T' = 6 seconds. Thus, time periods of the second pendulum on the planet where acceleration due to gravity is 1/9th of the earth is 6 seconds.
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