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\[45{}^\circ \], then

The resulting motion is not simple harmonic

The resultant amplitude is\[\sqrt{2}a\]

The phase of the resultant motion relative to the first is \[90{}^\circ \]

The energy associated with the resulting motion is \[(3+2\sqrt{2})\] times the energy associated with any single motion

Three simple harmonic motions in the same direction having the same am

1.	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\[45{}^\circ \], then
A.	The resultant amplitude is\[\sqrt{2}a\]
B.	The phase of the resultant motion relative to the first is \[90{}^\circ \]
C.	The energy associated with the resulting motion is \[(3+2\sqrt{2})\] times the energy associated with any single motion
D.	The resulting motion is not simple harmonic
Answer» D. The resulting motion is not simple harmonic