STATEMENT -1 : when an object moves towards a plane mirror with a certain velocity, its image will also move with same velocity.
and
STATEMENT - 2 : The distance from mirror to image is equal to distance of object from mirror.

Options

A. Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-10
B. Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-11
C. Statement-1 is True, Statement-2 is false
D. Statement-1 is False, Statement-2 is True

Answer

To analyze the statements given in the question, we will break it down step by step.

### Step 1: Understanding Statement 1
**Statement 1**: "When an object moves towards a plane mirror with a certain velocity, its image will also move with the same velocity."

- When an object is placed in front of a plane mirror, the image formed is virtual and appears to be at the same distance behind the mirror as the object is in front of it.
- If the object moves towards the mirror with a velocity \( v \), the image will also appear to move towards the mirror. However, the image moves in the opposite direction to the object.

**Conclusion for Step 1**: The image does move towards the mirror, but since it is moving in the opposite direction to the object, we say that the magnitudes of their velocities are the same, but their directions are opposite.

### Step 2: Analyzing the Velocity
- Let’s denote the velocity of the object as \( v_o \) and the velocity of the image as \( v_i \).
- When the object moves towards the mirror, we can express this as:
\[ v_o = -v_i \]
- This means that while the object and its image are moving towards each other, their velocities are equal in magnitude but opposite in direction.

**Conclusion for Step 2**: The statement that the image moves with the same velocity as the object is misleading because it does not specify the direction. Thus, Statement 1 is false.

### Step 3: Understanding Statement 2
**Statement 2**: "The distance from the mirror to the image is equal to the distance of the object from the mirror."

- In the case of a plane mirror, the distance of the object from the mirror (let's say \( d \)) is equal to the distance of the image from the mirror.
- Therefore, if the object is at a distance \( d \) from the mirror, the image is also at a distance \( d \) behind the mirror.

**Conclusion for Step 3**: This statement is true as it is a fundamental property of plane mirrors.

### Final Conclusion
- **Statement 1** is false because it does not correctly describe the relationship between the velocities of the object and its image.
- **Statement 2** is true as it accurately describes the distances involved.

### Summary
- **Statement 1**: False
- **Statement 2**: True