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Question

Theacceleration due to gravity on the surface of moon is 1.7 ms–2.What is the time period of a simple pendulum on the surface of moonif its time period on the surface of earth is 3.5 s? (gon the surface of earth is 9.8 ms–2)

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Solution

Acceleration due togravity on the surface of moon, =1.7 m s–2

Acceleration due togravity on the surface of earth, g = 9.8 m s–2

Time period of a simplependulum on earth, T = 3.5 s

Where,

l is the lengthof the pendulum

The length of thependulum remains constant.

On moon’ssurface, time period,

Hence, the time periodof the simple pendulum on the surface of moon is 8.4 s.


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