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in Physics by (70.7k points)

A plane longitudinal wave of angular frequency 1000 sec-1 is travelling along positive x-direction in a homogenous gaseous medium of density ρ =  1kg m-3. Intensity of the wave is 1 = 10-10  Wm-2 and maximum pressure change is (ΔP)m = 2 x 10-4Nm-2. Assuming at x = 0, initial phase of medium particles to be zero, calculate equation of the wave.

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Best answer

Let displacement amplitude of medium particles be a and velocity of wave propagation be v.

Due to propagation of longitudinal waves, maximum pressure change in the medium is given by

Since, initial phase of particles at x = 0 is zero, therefore, equation of the plane travelling wave is given by

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