Answer :
To address the first question about the size of the image formed in a plane mirror, we can consider the basic properties of images formed by plane mirrors.
A plane mirror always forms a virtual image that is:
1. The same distance behind the mirror as the object is in front.
2. The same size as the object.
3. Laterally inverted (left-right reversed).
4. The same height and width as the object.
5. Upright (not inverted vertically).
Given these principles, let's analyze each statement:
A. The image can be taller than the mirror.
- This statement is correct because the size of the mirror does not strictly limit the size of the image. As long as the mirror can reflect the entire object, the image can appear taller than the mirror itself. However, the mirror needs to be at least half the height of the object for the entire object to be visible in the image.
B. The height of the image depends on the object distance.
- This statement is wrong. The height of the image in a plane mirror is actually independent of the distance of the object from the mirror. The image will always be the same height as the object.
C. The width of the image is the same as the width of the object.
- This statement is correct. The image width will always match the width of the object.
D. The image height depends on the object height.
- This statement is correct. The image will always have a height equal to the height of the object.
Therefore, the correct answer is:
B The height of the image depends on the object distance.
A plane mirror always forms a virtual image that is:
1. The same distance behind the mirror as the object is in front.
2. The same size as the object.
3. Laterally inverted (left-right reversed).
4. The same height and width as the object.
5. Upright (not inverted vertically).
Given these principles, let's analyze each statement:
A. The image can be taller than the mirror.
- This statement is correct because the size of the mirror does not strictly limit the size of the image. As long as the mirror can reflect the entire object, the image can appear taller than the mirror itself. However, the mirror needs to be at least half the height of the object for the entire object to be visible in the image.
B. The height of the image depends on the object distance.
- This statement is wrong. The height of the image in a plane mirror is actually independent of the distance of the object from the mirror. The image will always be the same height as the object.
C. The width of the image is the same as the width of the object.
- This statement is correct. The image width will always match the width of the object.
D. The image height depends on the object height.
- This statement is correct. The image will always have a height equal to the height of the object.
Therefore, the correct answer is:
B The height of the image depends on the object distance.
