An object placed on the principle axis of a convex lens of focal length 10m produces a real image of double magnification. The image distance from the lens is

A.

30cm

B.

25cm

C.

20cm

D.

15cm

E.

10cm

Correct answer is A

\(\frac{1}{v}\) + \(\frac{1}{u}\) = \(\frac{1}{f}\)

\(\frac{1}{v}\) = +ve real image distance


where; U = +ve real object distance

f = real focus = 10

m = magnification

M = 2 = \(\frac{v}{u}\)

2u = V

\(\frac{1}{2u}\) + \(\frac{1}{u}\) = \(\frac{1}{10}\)

2u = 30

u = 15cm

v = 2u = 2 x 15

= 30cm