A wave represented by the equation y = acos( kx-wt ) is superposed with another wave to form a stationary wave such that the point x = 0 is a node. The equation of the other wave is ?
Asked by dipanshusingla029
31st March 2018,
7:03 PM
Answered by Expert
Answer:
This is purely an exercise in trignometry
Given wave is : acos(kx-ωt) = a [ coskx cosωt + sinkx sinωt ]
since we need node at x=0, we need to cancel coskx term in the sum of given wave and superimposed wave
hence superimposed wave is of the form ( -a coskx cosωt + a sinkx sinωt ) = -a[ coskx cosωt - sinkx sinωt ] = -a cos(kx+ωt)
Answered by Expert
1st April 2018,
12:55 PM
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