Two bodies of masses `m_(1) and m_(2)` are moving with velocities `1ms^(-1) and 3ms^(-1)` respectively in opposite directions. If the bodies undergo one dimensional elastic collision, the body of mass `m_(1)` comes to rest. Final the ratio of `m_(1) and m_(2)`.

Explanation

To solve the problem, we will use the principles of conservation of momentum and the properties of elastic collisions.

### Step 1: Understand the initial conditions
- Masses: Let \( m_1 \) and \( m_2 \) be the masses of the two bodies.
- Initial velocities: \( u_1 = 1 \, \text{m/s} \) (for \( m_1 \)) and \( u_2 = -3 \, \text{m/s} \) (for \( m_2 \), negative because it is in the opposite direction).
- Final velocity of \( m_1 \): \( v_1 = 0 \, \text{m/s} \).

### Step 2: Apply the conservation of momentum
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