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Q.

A convex lens produces a real image m times the size of the object. What will be the distance of the object from the lens?

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a

$\frac{m + 1}{f}$

b

$(\frac{m - 1}{m}) f$

c

$(\frac{m + 1}{m}) f$

d

$(m - 1) f$

answer is A.

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Detailed Solution

By using $m = \frac{f}{f + u}$

Here $- m = \frac{(+ f)}{(+ f) + u}$

$\Rightarrow - \frac{1}{m} = \frac{f + u}{f} = 1 + \frac{u}{f} \Rightarrow u = - (\frac{m + 1}{m}) f$

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