A Wave Whose Amplitude Is 0.07 M And Frequency Is 400 Hertz Travels In A Medium With A Velocity Of 300 M/s. Determine The Displacement Equation Of Oscillation At A Distance x metre From The Source Due To This Wave.

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Question

A wave whose amplitude is 0.07 m and frequency is 400 hertz travels in a medium with a velocity of 300 m/s. Determine the displacement equation of oscillation at a distance x metre from the source due to this wave.

Solution

Correct option is

None of these

 

The equation of a plane progressive wave moving in the +X direction is given by  

                               

Where is the amplitude, T is the time-period and λ is the wavelength. Here a = 0.07 m, n = 400 Hz (s –1) and wave-speed v = 300 m/s.   

                    

Substituting these values of aT and λ in the above equation, we get

                  

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