find the resultant of the amplitude in the form of

Dear Student,
To have a node of 0 amplitude, the amplitudes of the two superimposing waves must be same, i.e., a
The stationary wave formed by the superposition can be of the following form:

For having a node at x = 0., the amplitude of the standing wave must be 0 at x = 0, which is possible for
So, the equation of the standing wave must be

This we get from the following superposition:
Y=acoskx-ωt-acoskx+ωtY=2asinkxsinωtSo,Y(at x=0)=0

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