1.

A particle executing a simple harmonic motion has a period of 6 sec. The time taken by the particle to move from the mean position to half the amplitude, starting from the mean position is :

Answer»

`(3)/(2)`sec
`(1)/(2)`sec
`(3)/(4)`sec
`(1)/(4)`sec.

Solution :We know that DISPLACEMENT of a particle executing SHM is given by
`y=r SIN omega t`
`:.""( r )/(2)=r sin((2pi)/(T).t)`
`(1)/(2)=sin((2pi)/(T).t)`
`IMPLIES""(2pi)/(T).t=(pi)/(6)`
`implies""t=(T)/(12)`
`t=(6)/(12)=(1)/(2)s`
So correct choice is b.


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