Question

A pendulum swings at a rate of $0.75$ vibrations/second. The frequency of the vibrations can be decreased if:

• A. Mass of the bob was increased
• B. Length of the pendulum was increased
• C. Mass of the bob was decreased
• D. Length of the pendulum was decreased
• E. Displacement from zero was increased

Answer 1

Answer: (B)

Length of the pendulum was increased

frequency of vibration of a simple pendulum is given by $f=1/2\pi \sqrt{\frac{g}{l}}$

it is clear from the above formula that frequency of vibration of a pendulum depends upon its length only and is inversely proportional to $\sqrt{l}$ therefore f will decrease when length of pendulum is increased.