Q.
Three simple harmonic motions in the same direction having the same amplitude a and same period are superposed. If each differs in phase from the next by 450, then
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a
The resultant amplitude is
b
The phase of the resultant motion relative to the first is 90°
c
The energy associated with the resulting motion is times the energy associated with any single motion
d
The resulting motion is not simple harmonic
answer is A.
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Detailed Solution
Let simple harmonic motions be represented by On superimposing,resultant SHM will be Resultant amplitude = Energy is S.H.M. (Amplitude)2
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