Wave Mechanics Question 576

Question: The maximum velocity of a particle, executing simple harmonic motion with an amplitude 7 mm, is 4.4 m/s. The period of oscillation is

Options:

A) 0.01s

B) 10s

C) 0.ls

D) 100s

Show Answer

Answer:

Correct Answer: A

Solution:

[a] Maximum velocity, $ {V _{\max }}=a\omega $

$ {V _{\max }}=a\times \frac{2\pi }{T} $
$ \Rightarrow T=\frac{2\pi a}{{V _{\max }}}=\frac{2\times 3.14\times 7\times {{10}^{-3}}}{4.4}\approx 0.01,s $