Rohan looks at his image in a plane mirror. He observes that
(i) The image is upright.
(ii) The size of image is equal to his size.
(iii) The left hand appears as the right hand and vice versa.
Which of the following observations are correct?

Options

A. (i) and (ii)
B. (ii) and (iii)
C. (i) and (iii)
D. (i), (ii) and (iii)

Explanation

To determine which observations made by Rohan about his image in a plane mirror are correct, we can analyze each observation based on the properties of plane mirrors.

### Step-by-Step Solution:

1. **Observation (i): The image is upright.**
- In a plane mirror, the image formed is always upright (erect). This means that if Rohan is standing straight, his image will also appear straight up and down, not inverted.
- **Conclusion:** This observation is correct.

2. **Observation (ii): The size of the image is equal to his size.**
- One of the fundamental properties of a plane mirror is that it produces an image that is the same size as the object. Therefore, if Rohan is of a certain height, his image in the mirror will also be of the same height.
- **Conclusion:** This observation is correct.

3. **Observation (iii): The left hand appears as the right hand and vice versa.**
- When looking into a plane mirror, the image undergoes lateral inversion. This means that the left side of the object appears as the right side in the image and vice versa. So, if Rohan raises his left hand, it will appear as if the right hand is raised in the mirror.
- **Conclusion:** This observation is correct.

### Final Conclusion:
All three observations made by Rohan about his image in the plane mirror are correct.