A body of mass 36 g moves with S.H.M. of amplitude A = 13 cm and time period T = 12 s. At time t = 0, the displacement x is + 13 cm. The shortest time of passage from x = + 6.5 cm to x = - 6.5 cm is

Options

A. 4 sec
B. 2 sec
C. 6 sec
D. 3 sec

Answer

B

Explanation

`x_(1)=6.5=A/2Asin omega t_(1)`
`x_(2)=-6.5=-A/2=Asin omegat_(2)`

`(t_(2)-t_(1))/T=(pi//3)/(2pi)`
`(t_(2)-t_(1))=Txx1/6=12/6=2`sec