A particle is in linear simple harmonic motion between two points \(A\) and \(B,\) \(10~\text{cm}\) apart (figure.) Take the direction from \(A\) to \(B\) as the positive direction.
               

(a) The sign of velocity, acceleration and force on the particle, when it is \(3~\text{cm}\) away from \(A\) going towards \(B,\) are positive.
(b) The sign of velocity of the particle at \(C\) going towards \(B\) is negative.
(c) The sign of velocity, acceleration and force on the particle, when it is \(4~\text{cm}\) away from \(B\) going towards \(A,\) are negative.
(d) The sign of acceleration and force on the particle when it is at point \(B\) is negative.

 
The correct statement/s is/are:
1. (a), (b), (d)
2. (a), (c), (d)
3. (b), (c), (d)
4. (c), (d)

Hint: In SHM, acceleration and force always have the opposite sign to displacement from the equilibrium point \(O.\)