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?If the initial amplitude doubles, the frequency will quadrupleIf the pendulum is moved to Jupiter, the frequency will decreaseIn order to deduce the value of g (accel. due to gravity), you would not need to know the mass of the pendulum bobIf the string length is changed to 4L, the frequency will increase by a factor of 2If the mass of the pendulum bob is changed to 4m, the frequency will decrease by a factor of 4