

The person uses +1.5 D glasses to have normal vision at 25 cm.
So, with glasses his least distance of clear vision, D=25 cm
Focal length of glasses = 1/1.5 m = 100/1.5 cm
So, without the glasses his least distance of distinct vision should be more-
If u= -25 cm, f = 100/1.5 cm
Now, 1/v -1/u = 1/f
= 1.5/100 -1/25 = -2.5/100
Near point without glasses, v = -40 cm
Focal length f of microscope = 1/20 m =0.05 m = 5 cm
Hence,
1. The maximum magnifying power with glasses-
m = 1+(D/f) = 1+(25/5) = 6 (D= 25 cm)
2. The maximum magnifying power without glasses-
m = 1+(D/f) = 1+(40/5) = 9 (D= 40 cm)
