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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