Question

The time taken by a particle performing SHM to pass from point A to B where its velocities are same is $2s$. After another $2s$, it returns to B.The time period of oscillation is

• A. 4$s$
• B. 6$s$
• C. 8$s$
• D. 10$s$

Answer 1

Answer: (C)

8$s$

We see that the velocity at A and B are same and it takes $2$ s to cover this distance.
Now it takes $2$ s more to come back to B after travelling to the extreme position.
We see that the distance covered from A to B and then from B and then back to B from extreme takes $4$ s. This is half the distance in the whole top and fro path. Thus the time taken for one oscillation should be $8$ s