A pendulum is set in motion. Consider what will happen to the frequency or perio

Question

A pendulum is set in motion. Consider what will happen to the frequency or period in each of the following situations.
If the mass of the pendulum is cut in half, the period will _______.
If the amplitude of the motion is cut in half, the frequency will ______.
If the length of the pendulum is cut in half, the frequency will _______.
If the acceleration due to gravity is increased (suppose you travel to the surface of Jupiter), the frequency will _______.
If the length of the pendulum is doubled, the period will _______

Explanation / Answer

time period = 2 * pi * sqrt(Length / g)

frequency = sqrt(g / L) / 2 * pi

since period is independent of mass so If the mass of the pendulum is cut in half, the period will remain same

since frequency is independent of amplitude so If the amplitude of the motion is cut in half, the frequency will remain same

If the length of the pendulum is cut in half, the frequency will becomes sqrt(2) time of original frequency

If the acceleration due to gravity is increased the frequency will also increase as it is directly proportional to sqrt(g)

If the length of the pendulum is doubled, the period will become sqrt(2) time of original value

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