When there is an increase in the length of the simple pendulum then its time period will:

Explanation

The time period T 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.From this formula, we can see that T is directly proportional to the square root of the length l. Therefore, if the length of the pendulum increases, the time period will also increase.Option A is incorrect because the time period does not remain constant. Option B is incorrect because the time period does not decrease with an increase in length. Option C is incorrect as the time period does not first decrease and then increase; it continuously increases with an increase in length. Option D is correct as it accurately describes the relationship.