(a) For maximum magnifying power the image should be at least distance of distinct vision i.e., 25 cm.

1

v

−

1

u

=

1

f

or

1

−25

-

1

u

=

1

10

or -

1

u

=

1

10

+

1

25

=

7

50

⇒ u = -

50

7

cm = - 7.14 cm
(b) Linear magnification in the situation of maximum magnifying power.
m =

I

O

=

v

u

=

−25

−50 7

= 3.5
(c) Maximum magnifying power in the same situation
m =

D

umin

or (1+

D

fe

) ⇒ mmax =

25

50 7

or [1+

25

10

]
mmax = 3.5
So, it can be observed that in the situation when image is least distance of distinct vision the angular magnification and linear magnification have similar values.