A thin lens is placed 50cm from an illustrated object. The image produced has linear magnification of $\frac{1}{4}$ . Calculate the power of the lens in dioptres

2.5D

5.0D

10.0D

25.0D

Correct answer is C

$\frac{1}{v} = \frac{1}{u}$

m = $\frac{v}{u} = \frac{1}{4} = \frac{v}{50}$

v = 12.5

But $\frac{1}{v} + \frac{i}{u} = \frac{1}{f}$

= $\frac{1}{50} + \frac{1}{12.5} = f$

f = 10m

P = $\frac{100}{10} = 10D$

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