Choose the false statement

Options

A. In a perfect elastic collision the relative velocity of approach is equal to the relative velocity of separation
B. In an inelastic collision the relative velocity of approach is less than the relative velocity of seperation
C. In an inelastic collision the relative velocity of separation is less than the relative velocity of approach
D. In perfect inelastic collision relative velocity of seperation is zero.

Answer

To determine which statement is false regarding elastic and inelastic collisions, we first need to understand the definitions and properties of these types of collisions.

### Step-by-Step Solution:

1. **Understand Elastic Collisions**:
- In an elastic collision, both momentum and kinetic energy are conserved.
- The coefficient of restitution (e) is equal to 1.
- The relative velocity of separation is equal to the relative velocity of approach.

2. **Understand Inelastic Collisions**:
- In an inelastic collision, momentum is conserved, but kinetic energy is not.
- The coefficient of restitution (e) is less than 1 but greater than 0.
- In a perfectly inelastic collision, the two bodies stick together after the collision, and the coefficient of restitution is 0.

3. **Identify Key Properties**:
- For perfectly elastic collisions:
- e = 1
- Kinetic energy before and after the collision remains the same.
- For perfectly inelastic collisions:
- e = 0
- The bodies stick together after the collision, resulting in maximum kinetic energy loss.

4. **Evaluate Given Statements**:
- Without the specific statements provided in the question, we can evaluate common misconceptions:
- Statement claiming that kinetic energy is conserved in inelastic collisions is false.
- Statement claiming that the coefficient of restitution can be greater than 1 is also false.
- Statement claiming that inelastic collisions conserve momentum is true.

5. **Determine the False Statement**:
- Based on the definitions and properties outlined, we can conclude that any statement suggesting that kinetic energy is conserved in inelastic collisions or that the coefficient of restitution can exceed 1 is false.

### Conclusion:
The false statement among the options provided would be one that contradicts the established principles of elastic and inelastic collisions.

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