1.

A particle executes S.H.M. with amplitude 2 cm. At a distance 1 cm from the mean position magnitudes of the velocity and acceleration are equal. The time period of oscillation is :

Answer»

`2pisqrt(3)` s
`(2pi)/(3)sqrt(3)s`
`(sqrt(3))/(2pi)s`
`(1)/(2pi sqrt(3))s`.

Solution :`OMEGA sqrt(r^(2)-y^(2))=omega^(2)y`
`sqrt(r^(2)-y^(2))=omega y`
`r^(2)-y^(2)=omega^(2)y^(2)`
`IMPLIES""4-1=omega^(2)""implies""omega=sqrt(3)` rad/s.
`:.""(2pi)/(T)=sqrt(3)implies""T=(2pi)/(sqrt(3))=(2pi)/(3)sqrt(3)` s.
So CORRECT choice is (B).


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