Two bodies A and B having masses in the ratio of 3 : 1 possess the same kinetic energy. The ratio of their linear momenta is then

Explanation

To solve the problem, we need to find the ratio of the linear momenta of two bodies A and B, given that their masses are in the ratio of 3:1 and they possess the same kinetic energy.

### Step-by-Step Solution:

1. **Define the Masses**:
Let the mass of body A be \( m_1 = 3m \) and the mass of body B be \( m_2 = m \), where \( m \) is a common unit of mass.

2. **Kinetic Energy Formula**:
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