A pendulum clock is running slow. In order to correct it, we should a. reduce the amplitude of the oscillation. b. increase the mass of the bob. c. reduce the length of the pendulum. d. take the pendulum at the equator to decrease the value of acceleration due to gravity.

Step-by-step solution

The time period of a simple pendulum is given by T = 2 l g . If the pendulum clock is running slow, it means its time period T has increased. To correct the clock, the time period T needs to be decreased. Since T is directly proportional to l and inversely proportional to g , we can decrease T by either decreasing the length l or increasing the acceleration due to gravity g . Reducing the length of the pendulum will decrease the time period, thus correcting the clock. The time period is independent of the mass of t