Explanation:
Focal length of convex mirror, f = -21.8 cm
Image distance, v = -12.2 cm
(a) Let u is the object distance. Using mirror's formula :
[tex]\dfrac{1}{v}+\dfrac{1}{u}=\dfrac{1}{f}[/tex]
[tex]\dfrac{1}{u}=\dfrac{1}{f}-\dfrac{1}{v}[/tex]
[tex]\dfrac{1}{u}=\dfrac{1}{-21.8}-\dfrac{1}{-12.2}[/tex]
u = 27.70 cm
(b) The magnification of the mirror is the ratio of image distance to the object distance, [tex]m=\dfrac{-v}{u}[/tex]
[tex]m=-\dfrac{-12.2}{27.70}[/tex]
m = 0.44
Hence, this is the required solution.
