Discuss the below:
Q: Consider an ideal pendulum consisting of a "bob" of mass m hanging from a light (massless) string of length L. The pendulum swings back and forth in simple harmonic motion (SHM). You may assume that the oscillations are small, so that the motion is "ideal" SHM. Which of the following statements are true?
1. If the string length is changed to 4L, the frequency will increase by a factor of 2.
2. If the initial amplitude doubles, the frequency will also double.
3. To deduce the value of g (accel. due to gravity), you would need to know the mass of the pendulum bob
4. If the mass of the pendulum bob is changed to 4m, the frequency will decrease by a factor of 2
5. If the pendulum is moved to Jupiter, the frequency will increase.
Give a detailed explanation of why it is True/False