Two simple pendulums, A and B, are each 3.0 m long, and the period of pendulum A is T. Pendulum A is twice as heavy as pendulum B. What is the period of pendulum B?

• A. T/2
• B. T√2
• C. T
• D. 2T

Answer: (C)

Verified step by step guidance

1. Understand that the period of a simple pendulum is given by the formula: $T=2\pi \sqrt{\frac{l}{g}}$, where $l$ is the length of the pendulum and $g$ is the acceleration due to gravity.
2. Note that the period of a simple pendulum is independent of its mass. This means that the mass of pendulum A being twice that of pendulum B does not affect the period.
3. Since both pendulums A and B have the same length, the formula for the period applies equally to both, meaning they will have the same period.
4. Therefore, the period of pendulum B is the same as the period of pendulum A, which is $T$.
5. Conclude that the correct answer is $T$.