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Keeping the length of a simple pendulum ...

Keeping the length of a simple pendulum constant, will the time period to be the same on all planets? Support your answer with reason.

Text Solution

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Even though length of pendulum l is same the time period of oscillation T value changes form planet to planet.
Time period of pendulum, `T=2pi sqrt((l)/(g))` i.e., T depends on l and g.
Accleration due to gravity, `(g=(GM)/(R^2))` changes from planet to planet.
Hence Time period of pendulum changes even though length 'l' is same.
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