

Given,
Distance between lens and mirror= 30 cm
the object is placed at the distance of 20 cm, left to the lens.
So, u= -20 cm
Focal length of lens,f = 10 cm.
from the lens formula-
1/v -1/u =1/f
1/v= 1/10 -1/20
v= 20 cm
It means, image I1 will form at distance 20 cm right from the lens the lens.
This image acts as source(object) for the mirror.
So, the object distance for mirror =(30-20) = 10 cm
object distance for mirror = -10 cm (object is in left of mirror)
Focal length of mirror = 5 cm
From mirror equation-
1/v +1/u = 1/f
1/v= 1/5 +1/10
v = 10/3 cm
So, the final image I2 will form from mirror at the distance of 10/3 cm, right from the mirror.

