A particle executes SHM from extreme position and covers a distance equal to half to its amplitude in 1 s.

Explanation

Particle starts S.H.M. from extreme position
`y=A cos omega t`
`(A)/(2) = A cos omega t`
`rArr cos omega t = (1)/(2) = cos (pi)/(3)`
`because t= 1 sec.`
`(2pi)/(T)(1)= (pi)/(3)`
`rArr T=6 sec.`