1.

If x, v and a denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period T, then, which of the following does not change with time?

Answer»

`(aT)/(v)`
`aT+2piv`
`(aT)/(x)`
`a^(2)T+4PI^(2)v^(2)`

SOLUTION :`(aT)/(x)=(omega^(2)XT)/(x)=omega^(2)T=(4pi^(2))/(T^(2))T""(becauseomega=(2PI)/(T))`
`=(4pi^(2))/(T)=`constant.


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