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

• A. $60\pi \, cm \, s^{- 1}$
• B. $30\pi \, cm \, s^{- 1}$
• C. $30 \, cm \, s^{- 1}$
• D. $60 \, cms^{- 1}$

Answer 1

Answer: (A)

$v_{max}=aω$
$v_{max}=a\times 2\pi f$
$v_{max}=0.12\pi \times 300$
$v_{max}=60\pi \, cm \, s^{- 1}$