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 \[{{45}^{o}}\], then [IIT JEE 1999]

The phase of the resultant motion relative to the first is 90°

The resultant amplitude is \[(1+\sqrt{2)}a\]

The phase of the resultant motion relative to the first is 90°

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

The resulting motion is not simple harmonic

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 \[{{45}^{o}}\], then [IIT JEE 1999]
A.	The resultant amplitude is \[(1+\sqrt{2)}a\]
B.	The phase of the resultant motion relative to the first is 90°
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» B. The phase of the resultant motion relative to the first is 90°