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Three simple harmonic motions in the sam...

Three simple harmonic motions in the same direction having each of amplitude "a" and the same period are superposed. If each differs in phase from the next by `pi//4` then

A

the resultant amplitude is `(1+sqrt(2))`a.

B

the phase of the resultant motion relative to first is `90^(@).`

C

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

D

the resulting motion is not simple harmonic.

Text Solution

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The correct Answer is:
A, C
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