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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 p cm/s (b) 30 p cm/s (c) 30 cm/s (d) 60 cm/s

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 p cm/s
(b) 30 p cm/s
(c) 30 cm/s
(d) 60 cm/s

Grade:12

2 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
3 years ago
Dear student

The answer is option a

Regards
Vikas TU
14149 Points
3 years ago
Frequency of sound wave = 300Hz (Given)
Maximum displacement or amplitude of a particle of the medium = 0.1 cm (Given)
Maximum velocity = angular frequency × amplitude
Angular frequency = 2π × frequency
= 2π × 300 rad/s
= 600π rad/s
Maximum velocity of wave = 600π rad/s × 0.1cm
= 600π × 0.1
= 60πcms⁻¹
Thus, the maximum velocity of the particle is equal to 60πcms⁻¹
 

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