Choose the wrong statement.

Options

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

Answer

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

### Step 1: Analyze the First Statement
**Statement:** If the velocity of a particle is zero, then it is not necessary that its acceleration is also zero.

**Explanation:** This statement is correct. A particle can have zero velocity while still experiencing acceleration. For example, when an object is thrown upwards, it momentarily stops at its maximum height (velocity = 0) but is still under the influence of gravitational acceleration (which is not zero).

### Step 2: Analyze the Second Statement
**Statement:** If the acceleration of a particle is zero, then it is not necessary that its velocity is also zero.

**Explanation:** This statement is also correct. An object can have zero acceleration while moving at a constant velocity. For instance, if a car is cruising at a constant speed on a straight road, its acceleration is zero, but its velocity is not zero.

### Step 3: Analyze the Third Statement
**Statement:** If the speed of a particle is constant, then its acceleration must be zero.

**Explanation:** This statement is incorrect. A particle can have a constant speed while still experiencing acceleration if it is changing direction. A classic example is uniform circular motion, where an object moves in a circle at a constant speed. Although the speed is constant, the direction of the velocity vector changes, resulting in centripetal (radial) acceleration.

### Conclusion
After analyzing all three statements, we find that the third statement is the wrong one. Therefore, the answer to the question is that the third statement is incorrect.

### Final Answer
The wrong statement is: **If the speed of a particle is constant, then its acceleration must be zero.**

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