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 $