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

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) 60π cm s- 1 (B) 30π cm s- 1 (C) 30 cm s- 1 (D) 60 cms- 1

Tardigrade Admin · Accepted Answer

vmax=aω vmax=a× 2π f vmax=0.12π × 300 vmax=60π cm s- 1

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

$60 π c m s^{- 1}$

$30 π c m s^{- 1}$

$30 c m s^{- 1}$

$60 c m s^{- 1}$

$v_{ma x} = aω$
$v_{ma x} = a \times 2 π f$
$v_{ma x} = 0.12 π \times 300$
$v_{ma x} = 60 π c m s^{- 1}$

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

60πcms−1

30πcms−1

30cms−1

60cms−1