InterviewSolution
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InterviewSolution
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An oscillation is superposition of three harmonic oscillations and decribed by the equation `x=A sin 2pi upsilon_(1)` where A changes with time according to `A=A_(0)(1+cos 2pi upsilon_(2)t)` with `A_0` to be constant. The frequencies of pure harmonic oscillations forming this oscillation areA. `gamma_(1):gamma_(2):(gamma_(1)-gamma_(2))`B. `gamma_(1):(gamma_(1)-gamma_(2)):(gamma_(1) + gamma_(2))`C. `gamma_(1):gamma_(2):(gamma_(2)-gamma_(1))`D. `gamma_(1):gamma_(2):(gamma_(1)+gamma_(2))` |
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Answer» Correct Answer - B `x = A_(0)(1+cos2pigamma_(2)t) sin (pigamma_(1))` `= A_(0)[sin 2pigamma_(1)t + cos 2pigamma_(2)t + sin 2pigamma_(1)t]` `= A_(0)[sin 2pigamma_(1)t + 1/2 sin (2pi(gamma_(1) + gamma_(2))t - 1/2 sin (2pi(gamma_(1) - gamma_(2)t)]` Required ratio `= v_(1) : (v_(1) - v_(2)) : (v_(1) + v_(2))` |
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