Question

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

• A. $60\pi$ cm/s
• B. $30\pi$ cm/s
• C. $60$ cm/s
• D. $30$ cm/s

Answer 1

The correct option is A $60\pi$ cm/s

Frequency $f=300Hz$

Angular frequency $w2\pi f=2\pi \times 300=600\pi$

Maximum amplitude $A=0.1cm=0.001m$

Maximum velocity $V_{max}=Aw=0.001\times 600\pi =0.6\pi m/s=60\pi cm/s$