The period of a simple pendulum is 8 s. If the same pendulum experiment is repeated on a plant of g = 1/4 gE, the new period is

The new period is 16 s

Explanation:

The period of a simple pendulum is given by

Where is the period

is the length of the string

is the acceleration due to gravity

2π is constant

For the first experiment,

Then,

....... (1)

For the second experiment

Hence,

becomes

Then,

....... (2)

Since 2π is constant and

The same pendulum is used for the second experiment, then is also constant.

∴ is constant for both experiment.

Hence, we can equate equations (1) and (2) such that

Then,

Hence, the new period is 16 s

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0.863333

86%

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