# Problem: 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 doublesb) 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 answerPart (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.

###### FREE Expert Solution

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.

###### Problem Details

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.