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Geometry

  Superposition of Waves     1 of 18
 
In order to fully understand the geometry of diffraction, it is important to understand how radiation waves (x-rays and electrons) add together when there is a phase difference between them. 

Here we look at adding together two waves of the same amplitude and frequency, with a phase difference between them. This is also called superposition.

Have a go imageUse the slider to change the phase difference between the blue and red sine waves. The resultant addition of these two waves is shown as the yellow curve.

 

Questions image Answer the following questions:

(1) The value of phase difference which gives rise to the maximum resultant wave is? (Click on the best answer)
0 (or 360) degrees 90 degrees 180 degrees 270 degrees
(2) The value of phase difference which gives rise to the minimum resultant wave is?
0 (or 360) degrees 90 degrees 180 degrees 270 degrees

For the condition of constructive interference (maximum resultant) we say that the individual waves are in phase. The phase difference which gives this condition is 0, 360, 720 etc. degrees, or in terms of wavelength this is 0, l, 2l etc.

For the condition of destructive interference (minimum resultant) we say that the individual waves are out of phase. The phase difference which gives this condition is 180, 540, etc. degrees, or in terms of wavelength this is l/2, 3l/2 etc.

 

 
 

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