Resultant Amplitude and Intensity Assignment Help

Assignment Help: >> Wave optics >> Resultant Amplitude and Intensity

Let us take two waves that have the same frequency but have a certain fixed (constant) phase difference between them. Their super position shown below,

Let the two waves are y1 = a1sinωt and y2 = a2sin(ωt+Φ) 

where a1,a2 ¾ Individual amplitudes, Φ¾ Phase difference between the waves at an instant when they are meeting a point.

1950_Resultant Amplitude and Intensity.png

1. Resultant amplitude: The resultant wave can be written as  y = Asin(ωt+θ)

            Where A = resultant amplitude 1936_Resultant Amplitude and Intensity1.png

2. Resultant intensity: As we know intensity  (Amplitude)2329_Dispersion of light4.png  1871_Resultant Amplitude and Intensity2.pngand 1188_Resultant Amplitude and Intensity3.png  (k is a proportionality constant).

            Resultant intensity 522_Resultant Amplitude and Intensity4.png

            For two identical source          664_Resultant Amplitude and Intensity5.png                  

             476_Resultant Amplitude and Intensity6.png

 

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