Which of the following statement is false?

Options

A. Momentum is conserved in all types of collisions
B. Energy is conserved in all types of collisions
C. During elastic collision conservative forces are involved
D. Work-energy theorem is not applicable to inelastic collisions

Answer

To determine which statement is false regarding collisions and energy conservation, let's analyze each statement step by step.

### Step 1: Understand the Types of Collisions
There are two main types of collisions:
- **Elastic Collision**: Both momentum and kinetic energy are conserved.
- **Inelastic Collision**: Momentum is conserved, but kinetic energy is not conserved (some energy is transformed into other forms, such as heat or sound).

**Hint**: Remember the definitions of elastic and inelastic collisions and their properties.

### Step 2: Analyze Statement 1
**Statement 1**: "Momentum is conserved in all types of collision."
- This statement is **true**. Momentum is conserved in both elastic and inelastic collisions as long as there are no external forces acting on the system.

**Hint**: Recall that momentum conservation applies universally, regardless of the collision type.

### Step 3: Analyze Statement 2
**Statement 2**: "Energy is conserved in all types of collision."
- This statement is **false**. In elastic collisions, kinetic energy is conserved, but in inelastic collisions, kinetic energy is not conserved due to energy being transformed into other forms.

**Hint**: Differentiate between conservation of momentum and conservation of energy in collisions.

### Step 4: Analyze Statement 3
**Statement 3**: "Work energy theorem is not applicable to inelastic collision."
- This statement is **false**. The work-energy theorem is applicable to all types of collisions, including inelastic collisions. It states that the work done by all forces equals the change in kinetic energy of the system.

**Hint**: The work-energy theorem is a broader principle that applies regardless of the type of collision.

### Step 5: Conclusion
From the analysis:
- Statement 1 is true.
- Statement 2 is false (energy is not conserved in inelastic collisions).
- Statement 3 is false (work-energy theorem is applicable to inelastic collisions).
- Therefore, both statements 2 and 3 are false.

**Final Answer**: The false statements are **Statement 2** and **Statement 3**.