Answer:
The plant is placed at 2.22 cm on left hand side of the mirror.
Explanation:
Distance of the object from the mirror = u
Distance of an image from the mirror = v = 4.0 cm
Radius of the Curvature of the mirror ,r= 10 cm
[tex]f=\frac{-r}{2}[/tex]
[tex]f=\frac{-10 cm}{2}= -5 cm[/tex]
1 ) v = +4.0 cm (Image is on the other side)
[tex]\frac{1}{-5 cm}=\frac{1}{u}+\frac{1}{4.0 cm}[/tex]
u = -2.22 cm
2) v = -4.0 cm (Image is on the same side)
[tex]\frac{1}{-5 cm}=\frac{1}{u}+\frac{1}{-4.0 cm}[/tex]
u = 20 cm (not possible)
So, the distance of plant from the mirror is 2.22 cm