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
Verified Correct Answer: C.
Physical Principles & Numerical Solution
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.
Source: Myschool Past Questions Archive (Record #35747)