Wave Mechanics Question 638

Question: When a sound wave of frequency 300 Hz passes through a medium, the maximum displacement of a particle of the medium is 0.1 cm. The maximum velocity of the particle is equal to

Options:

A) $ 60\pi c{{m}^{-1}} $

B) $ 30\pi c{{m}^{-1}} $

C) $ 30cm{{s}^{-1}} $

D) $ 60cm{{s}^{-1}} $

Show Answer

Answer:

Correct Answer: A

Solution:

[a] $ V _{mix}=a\omega =0.1\times 2\pi \times 300=60\pi ,cm,{{s}^{-1}} $