The image is 12.8 cm far from the mirror.
Explanation:
Given:
Height of the object=2.15 cm
To Find:
Distance between the image and mirror.
Solution:
Object distance u=-22.5 cm(object is always placed to the left of the mirror and distances to the left are indicated by negative sign)
Focal length=+29.8 cm(concave mirror has a positive focal length)
The image distance can be calculated using the mirror equation.
[tex]1/f=1/v+1/u[/tex]
1/v= 1/f-1/u
[tex]=1/29.8-1/-22.5\\\\1/v=1/29.8+1/22.5\\\\v=12.82 cm[/tex]
Thus we can conclude that the image is 12.82cm far from the mirror.