Two waves travelling in a medium in the x -direction are represented by y 1 = A sin ( α t − β x ) and y 2 = A cos ( β x + α t − π /4 ) , where y 1 , y 2 are displacements, t is time and α , β

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Two waves travelling in a medium in the x -direction are represented by y 1 ​ = A sin ( α t − β x ) and y 2 ​ = A cos ( β x + α t − π /4 ) , where y 1 ​ , y 2 ​ are displacements, t is time and α , β are constants. The two waves have different:

TestHub · Accepted Answer

Both have angular frequency α and wave number β , so the same frequency, wavelength and speed α / β . y 1 ​ moves along + x ( α t − β x ) and y 2 ​ along − x ( α t + β x ).

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