Answer:
The power of the mirror is -17.24 diopter.
Explanation:
Magnification of an image,m = [tex]\frac{1}{6}[/tex]
Distance of the object from the mirror = u = 29.0 cm
Distance of an image from the mirror = v
Magnification = [tex]m=\frac{-v}{u}[/tex]
[tex]\frac{1}{6}=\frac{-v}{u}[/tex]
[tex]v=\frac{-u}{6}[/tex]
[tex]\frac{1}{f}=\frac{1}{u}+\frac{1}{v}[/tex]
[tex]\frac{1}{f}=\frac{1}{u}+\frac{-6}{u}[/tex]
[tex]f=\frac{-u}{5}=\frac{-29.0 cm}{5}=-5.8 cm[/tex]
Focal length of mirror = -5.8 cm =-0.058 m
Power of the lens = P
[tex]P =\frac{1}{f}[/tex]
[tex]P=\frac{1}{-0.058 m}=-17.24 D[/tex]
