Home
Class 11
PHYSICS
Find the amplitude of the vibration of t...

Find the amplitude of the vibration of the particles of air through which a sound wave of intensity `2.0xx10^-6Wm^-2` and frequency 1.0kHz is passing. Density of air =1.2 kgm^-3 and speed of sound in air `=330 ms^-1`.

Text Solution

Verified by Experts

The relation between the intensity of sound and the displacement amplitude is
`I=2pi^2s_0^2v^2rho_0v`
or, s_0^2=I/(2pi^2v^2rho_0v)`
`=(2.0xx10^-6Wm^-2)/(2pi^2xx(1.0xx10^6s^2)xx(1.2kgm^-3)xx(330ms^-2))`
`=2.53xx10^-16m^2`
`or s_0=1.6xx10^-8m`.
Promotional Banner

Similar Questions

Explore conceptually related problems

If the frequency of a sound wave of wavelength 34 m is 10 Hz in air, then the speed of the sound wave in air is ......... ms^(-1)

A pipe, 30.0 cm long. Is open at both ends. Which harmonic mode of the pipe resonates a 1.1 kHz source? Will resonance with the same source be observed if one end of the pipe is closed ? Take the speed of sound in air as 330 m s^(-1) .

If the density of air at NTP is 1.293kg//m^(3) and gamma=1.41 , then the velocity of sound in air at NTP is :

A train standing in a station-yard, blows a whistle of frequency 400Hz in still air. The wind starts blowing in the direction from the yard to the station with a speed of 10 ms^(-1) . What are the frequency wavelength and speed of sound for an observer standing on the station's platform? Is the situation exactly identical the case when the air is still and the observer runs towards the yard at a speed of 10 ms^(-1) ? The speed of sound in still air can be taken as 340 ms^(-1)

An air bubble of 1 cm radius is rising at a steady rate of 2.00ms^-1 through a liquid of density 1.5gcm^-3 . Neglect density of air. If g=1000cms^-2 , then the coeffieciet of viscosity of the liquid is