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) $