A circular ring of mass `M` and radius `'a'` is placed in a gravity free space. A small particle of mass `m` placed on the axis of the ring at a distance `sqrt(3)a` from the center of the ring, is released from rest. The velocity with which the particle passes through the center of the ring is

Options

A. `sqrt((GM)/(a))`
B. `sqrt((GM)/(2a)((m)/(M)))`
C. `sqrt((GM)/(2a)((M)/(m)))`
D. `sqrt((GM)/(a)((M)/(M+m)))`

Explanation

To solve the problem, we need to find the velocity with which the particle of mass `m` passes through the center of the circular ring after being released from rest at a distance of `√3a` from the center of the ring.

### Step-by-Step Solution:

1. **Understanding the Setup**:
- We have a circular ring of mass `M` and radius `a`.
- A small particle of mass `m` is placed on the axis of the ring at a distance `√3a` from the center of the ring.

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