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Three simple harmonic motions in the sam...

Three simple harmonic motions in the same direction having the same amplitude and same period are superposed. If each differ in phase from the next by `45^(@)`, then

A

the resultant amplitude is `(1 + sqrt2)a`

B

the phase of the resultant relative to the first is `90^@`

C

the energy associated with the resulting motion is `(3 + 2sqrt2)` times the energy associated with any single motion

D

the resulting motion is not simple harmonic

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