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

PHYSICS
WAEC 2014

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: C. 2.0s

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.



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