**Part (a)**

Time period:

$\overline{){\mathbf{T}}{\mathbf{=}}{\mathbf{2}}{\mathbf{\pi}}\sqrt{\frac{\mathbf{L}}{\mathbf{g}}}}$

The time period is independent of mass.

A simple pendulum consisting of a mass on a string of length L, is undergoing small oscillations with amplitude A.

Part (a) The mass is increased by a factor of four. What is true about the period? Choose the best answer.

a) The period doubles

b) The period remains unchanged

c)The period increases by a factor of four

d)The period decreases by a factor of four

e) The period is halved

Part (b) The length is increased by a factor of four, what is true about the period? Choose the best answer

Part (c) The amplitude is doubled. What is true about the period? Choose the best answer

Part (d) The pendulum is taken to the Moon. Which of the following is true about the period? Choose the best answer.

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Simple Harmonic Motion of Pendulums concept. You can view video lessons to learn Simple Harmonic Motion of Pendulums. Or if you need more Simple Harmonic Motion of Pendulums practice, you can also practice Simple Harmonic Motion of Pendulums practice problems.