What type of image is formed by a mirror if [tex]$m=-6.1$[/tex]?

A. An image that is larger than the object and is in front of the mirror
B. An image that is smaller than the object and is behind the mirror
C. An image that is smaller than the object and is in front of the mirror
D. An image that is larger than the object and is behind the mirror



Answer :

To determine the type of image formed by a mirror when the magnification [tex]\( m \)[/tex] is given as [tex]\( m = -6.1 \)[/tex], we need to analyze the nature and properties of the magnification.

1. Sign of Magnification:
- The magnification [tex]\( m \)[/tex] is negative. This indicates that the image is real and inverted. In the context of mirrors, a real image is formed on the same side as the light actually converges.

2. Magnitude of Magnification:
- The magnitude of the magnification is [tex]\( |m| = 6.1 \)[/tex], which is greater than 1. This means the image is larger than the object.

3. Position Relative to the Mirror:
- Since the magnification is negative and the image is real, the image forms in front of the mirror.

Summarizing these points:
- The image is real (formed in front of the mirror).
- The image is inverted.
- The image is larger than the object.

Based on these characteristics, the correct choice is:
A. An image that is larger than the object and is in front of the mirror