Question

# A wave y1=A sin(kx−ωt) is superimposed on another wave whose wave equation is y2=A sin(kx−2ωt). Select the correct statement regarding the resultant waveform.

A
A standing wave,
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B
A wave travelling +ve xaxis
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C
A wave travelling ve xaxis
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D
We cannot superimpose two waves of different ω.
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Solution

## The correct option is B A wave travelling +ve x−axisThe wave y1 and y2, both are travelling wave travelling along +ve direction of x axis. Superimposition of these two will surely form a progressive wave travelling in +ve x−axis It cannot form a standing wave, because for formation of a standing wave, two waves of equal amplitude and frequency should travel in opposite direction. Hence, option (B) is correct. Why this question ? This question gives you understanding about condition of formation of standing wave and travelling wave.

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