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?
-
A.
12.5s -
B.
2.5s -
C.
2.0s -
D.
1.2s
Correct Answer: Option 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.