Home
Class 11
PHYSICS
Plane harmonic waves of frequency 500Hz ...

Plane harmonic waves of frequency 500Hz are produced in air with displacement amplitude `10^(-3)cm`. Deduce (i) the pressure amplitude (ii) the energy density and (iii) intensity of the wave. Speed of sound in air =300m/s. Density of air `=1.29"kg/m"^3`.

Text Solution

AI Generated Solution

To solve the problem step by step, we will find the pressure amplitude, energy density, and intensity of the plane harmonic waves produced in air. ### Given Data: - Frequency (f) = 500 Hz - Displacement Amplitude (A) = \(10^{-3}\) cm = \(10^{-5}\) m - Speed of sound in air (v) = 300 m/s - Density of air (\(\rho\)) = 1.29 kg/m³ ...
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

What is the frequency of a sound wave with a displacement amplitude 1.1 xx 10^(-5)m and pressure amplitude "28 N/m"^2?

Plane harmonic waves of frequency 500 Hz are produced in air with displacement amplitude of 10mum . Given that density of air is 1.29(kg)/(m^3) and speed of sound in air is 340(m)/(s) . Then

A sound wave in air has a frequency of 300 H_(Z) and a displacement ampulitude of 6.0 xx10^(-3) mm . For this sound waves calculate the (a) Pressure ampulitude (b) intensity (c ) Sound intensity level (in dB) Speed of sound = 344 m//s and density of air = 1.2 kg//m^(3) .

For plane waves in the air of frequency 1000 Hz and the displace amplitude 2xx10^(-8)m , deduc (i) the velocity amplitude, and (ii) the intensity. (Take p= 1.3 kg//m^(3),c=340 m//s)

The amplitude of the sound wave emitted by a source is 10^(-3)m. If the frequency of sound is 600 Hz, what is (i) the energy per unit volume and (ii) the intensity of sound ? Speed of sound = 340 m/s, Density of air ="1.29 kg/m"^3 .

A plane progressive wave propagating through air has an amplitude of 10^(-3)m and a frequency of 480 Hz. Calculate the energy density and intensity of wave. Given velocity of wave =340 ms^(-1) and density of air = 1.29"kg m"^(-3) .

(a) what is the displacemant amplitude for a sound wave having a frequency of 100 Hz and a pressure amplitude of 10 pa? (b) The displacement amplitude of a sound wave of frequency 300 Hz is 10^(-7) m. what is the pressure amplitude of this wave ? speed of sound in airb is 340 ml s and density of a ir is 1.29kg// m^(3) .

The frequency of the sound emitted by a musical instrument is 512Hz. The instrument emits plane wave of amplitude 10^(-4)m . Calculate the energy flux, if the speed of sound in air in 332 m/s and the density of air is 1.29kg//m^3 .

The faintest sound the human ear can detect at a frequency of 1000 Hz correspond to an intensity of about 1.00xx10^-12(W)/(m^2) , which is called threshold of hearing. The loudest sounds the ear can tolerate at this frequency correspond to an intensity of about 1.00(W)/(m^2) , the threshold of pain. Detemine the pressure amplitude and displacement amplitude associated with these two limits. Take speed of sound =342(m)/(s) and density of air =1.20(kg)/(m^3)

Two sound waves one in air and the other in fresh water are equal in intensity. (a) Find the ratio of pressure amplitude of the wave in water to that of the wave in air. (b) If the pressure amplitudes of the waves are equal then what will be the ratio of the intensities of the waves. [ V_(sound) = 340 m//s in air & density of air = 1.25 kg//m^(3), V_(sound) = 1530 m//s in water, density of water = 1000 kg//m^(3) ]