The period of a simple pendulum X is 5s. What is the period of a simple pendulum Y which makes 50 vibrations in the same time it takes X to make 20 vibrations?
- 12.5s
- 2.5s
-
2.0s
- 1.2s
The correct answer is: C
Explanation
It takes X 5s for 1 complete vibration.
⇒ It takes X (5 x 20)s for 20 vibrations.
= 100s.
It takes Y 100s for 50 vibrations.
⇒ The period of Y = \(\frac{100}{50}\)s
= 2s.