InterviewSolution
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InterviewSolution
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when two displacements represented by `y_(1) = a sin(omega t)` and `y_(2) = b cos (omega t)` are superimposed the motion isA. not a simple harmonicB. simple harmonic with amplitude `(a)/(b)`C. simple harmonic with amplitude `sqrt(a^(2) + b^(2))`D. simple harmonic with amplitude `((a+b))/(2)` |
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Answer» Correct Answer - C Given, `y_(1)=a sin omega t and y_(2)=b cos omega t = b sin (omega t + (pi)/(2))` The resultant displacement is given by `y = y_(1)+y_(2)=sqrt(a^(2)+b^(2))sin (omega t + phi)` Hence, the motion of superimposed wave is simple harmonic with amplitude `sqrt(a^(2)+b^(2))` |
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