The correct option is B x=±√3A2
Let the displacement of the particle from mean position be x.
Given that, v=vmax2
But we know that for a particle executing SHM, the speed of the particle is given by
And also that, vmax=Aω [at mean position]
From (1) we can say that,
Squaring on both sides, we get
Thus, option (c) is the correct answer.