Statement I: In an elastic collision between two bodies, the relative speed of the bodies after collision is equal to the relative speed before the collision.
Statement II: In an elastic collision, the linear momentum of the system is conserved.

Options

A. Both Statement I and Statement II are true and Statement II is the correct explanation of Statement I
B. Both Statement I and Statement II are true but Statement II is not the correct explanation of Statement I.
C. Statement I is true and Statement II is false.
D. Statement I is false and Statement II is true.

Explanation

To analyze the statements provided in the question, we will evaluate each statement regarding elastic collisions.

### Step-by-Step Solution:

1. **Understanding Elastic Collisions**:
- In an elastic collision, both momentum and kinetic energy are conserved. This means that the total momentum before the collision is equal to the total momentum after the collision, and the total kinetic energy before the collision is equal to the total kinetic energy after the collision.

2. **Evaluating Statement I**:
- Statement I claims that in an elastic collision between two bodies, the relative speed of the bodies after the collision is equal to the relative speed before the collision.
- Mathematically, if we have two bodies with velocities \( u_1 \) and \( u_2 \) before the collision, and \( v_1 \) and \( v_2 \) after the collision, the relative speeds can be expressed as:
\[ |u_1 - u_2| = |v_1 - v_2| \]
- This is a characteristic property of elastic collisions, confirming that Statement I is true.

3. **Evaluating Statement II**:
- Statement II states that in an elastic collision, the linear momentum of the system is conserved.
- According to the law of conservation of momentum, the total momentum before the collision is equal to the total momentum after the collision:
\[ m_1 u_1 + m_2 u_2 = m_1 v_1 + m_2 v_2 \]
- This is true for all types of collisions, including elastic collisions. Therefore, Statement II is also true.

4. **Conclusion**:
- Both statements are true. However, since the question asks whether the statements are correct in the context of elastic collisions, we conclude that:
- Statement I is true.
- Statement II is true.

### Final Answer:
Both Statement I and Statement II are true.

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