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Time period of a simple pendulum will be double, if we

Question

Time period of a simple pendulum will be double, if we

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Solution

Increase the length of the pendulum by four times.

The time period of a simple pendulum is given by the formula T = 2π√(L/g), where L is the length of the pendulum and g is the acceleration due to gravity.

If we want to double the time period, we need to make the right side of the equation four times larger (since 2^2 = 4).

The only way to do this without changing g (which is a constant) is to increase L by a factor of four.

So, the time period of a simple pendulum will be double if we increase the length of the pendulum by four times.

This problem has been solved

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