can you please solve (a) & (b)? 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 period of a simple pendulum is, T Where,Length of pendulum = LAcceleration due to gravity = gTherefore, we can conclude that:The period of a simple pendulum is dependent on "L" and "g" only.Part (a)As we know, the period of a simple pendulum is dependent on "L" and "g" only.Therefore, when mass is increased by a factor four, the period remains unchanged.Part (b)Part (c) The time period does not depend on the amplitude of the motion, hence the time period remains unchanged Part (d) The acceleration due to the gravity on moon is less than the earth.From the above expression for the time period, the time period inversly proportional to the g , hence the time period increases. Part (a) Correct answer : 2Part (b) Correct answer : 2Part (c) Correct answer : 2Part (d) Correct answer : 2