Can you please solve (c) & (d)? Problem 3: A simple pendulum, consisting of a mass on a string of length L, is undergoing small oscillationswith amplitude A.Part (a) The mass is increased by a factor of four. What is true about the period? Choose the best answer.MultipleChoice :1) The period doubles.2) The period remains unchanged.3) The period is halved.4) The period decreases by a factor of four.5) The period increases by a factor of four.Part (b) The length is increased by a factor of four. What is true about the period? Choose the best answer.MultipleChoice :1) The period is halved.2) The period doubles.3) The period decreases by a factor of four.4) The period remains unchanged.5) The period increases by a factor of four.Part (c) The amplitude is doubled. What is true about the period? Ch0oose the best answer.MultipleChoice :1) The period doubles.2) The period remains unchanged.3) The period is halved.4) The period decreases by a factor of four.5) The period increases by a factor of four.Part (d) The pendulum is taken to the Moon. Which of the following is true about the period? Choose the best ansMultipleChoice :1) The period decreases.2) The period increases.3) The period changes because it depends on the mass, and the mass is different on Moon than on Earth.4) The period remains unchanged.

The time period of a simple pendulum is given as, T=2πLg where g is acceleration due to gravity.(c) As the time period does not depend on the amplitude, so time period will remain unchanged when amplitude is changed. Correct answer is (2). (d) Acceleration due to gravity is less on moon than on earth. And time period is inversely proportional to acceleration due to gravity. So, as this quantity decreases, the time period will increase. The correct option is (2).