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?
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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.
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.