Choose the wrong statement.

Options

A. Zero velocity of a particle does not necessarily mean that its acceleration is zero
B. Zero acceleration of a particle does not necessarily means that its velocity is zero
C. If speed of a particle is constant its acceleration must be zero
D. None of these

Explanation

To solve the question of identifying the wrong statement among the given options, we will analyze each option step by step.

### Step-by-Step Solution:

1. **Analyze Option 1:**
- Statement: "If the velocity of the particle is zero, then its acceleration is also zero."
- Explanation: A particle can have zero velocity while still experiencing acceleration. For example, when a car comes to a stop, it has zero velocity at that instant, but it is decelerating, meaning it has a negative acceleration. Therefore, this statement is **false**.

2. **Analyze Option 2:**
- Statement: "Zero acceleration of a particle does not necessarily mean that its velocity is zero."
- Explanation: If the acceleration is zero, it means that there is no change in velocity over time. The velocity can be constant and can take any value, including zero. Therefore, this statement is **true**.

3. **Analyze Option 3:**
- Statement: "If the speed of the particle is constant, then its acceleration must be zero."
- Explanation: Speed is a scalar quantity and does not account for direction. If a particle moves in a circular path at a constant speed, its direction changes, resulting in a non-zero acceleration (centripetal acceleration). Therefore, this statement is **false**.

4. **Analyze Option 4:**
- Statement: "None of these."
- Explanation: Since we have identified that both Option 1 and Option 3 are false, this statement is also **false**.

### Conclusion:
The wrong statements are found in Option 1 and Option 3. However, since the question asks for a single wrong statement, we can conclude that both Option 1 and Option 3 are incorrect, but if we had to choose one, we would select Option 1 as the first incorrect statement.

### Final Answer:
The wrong statement is: **Option 1: "If the velocity of the particle is zero, then its acceleration is also zero."**