Wave Mechanics Question 630
Question: A progressive wave is travelling in a medium such that frequency of oscillation and displacement amplitude of the particles of the medium are/and A respectively. The ratio of their acceleration amplitude and velocity amplitude is
Options:
A) $ 2\pi f $
B) $ \pi f $
C) $ \frac{2\pi f}{A} $
D) $ \frac{\pi f}{A} $
Show Answer
Answer:
Correct Answer: A
Solution:
[a] $ {v _{\max }}=(2\pi f)A $
$ {a _{\max }}={{(2\pi f)}^{2}}A\frac{{a _{\max }}}{{v _{\max }}}=(2\pi f) $