A concave mirror of focal length 20 cm and a convex lens of focal length 10 cm are kept with their optic axes parallel but separated by 0.5 cm as shown in figure. The distance between lens and mirror is 10 cm. An object of height 3 mm is placed on the optic axis of lens at a distance
15 cm from the lens. Find length of image formed by mirror in mm.

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Sol. For image formed by lens
= 
⇒ v 1 = + 30 cm
i.e. 20 cm behind mirror
For mirror
= 
⇒ v 2 = – 10 cm
Overall magnification =
= –1
Length of image = 1 × 3 = 3 mm
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