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The period of a simple pendulum X is 5s. What is the peri...

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 is C

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 = 10050s

= 2s.