A lens forms a virtual, diminished image of an object placed at 2 m from it. The size of image is half of the object. Which one of the following statements is correct regarding the nature and focal length of the lens?

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Concave |f| = 2 m

Concave |f| = I m

Convex |f| = 2 m

Convex |f| = 1 m

answer is C.

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Detailed Solution

$\begin{array}{l} m = \frac{f}{f + u}, \frac{1}{2} = \frac{f}{f - 2} or \\ 2 f = f - 2 or f = - 2 metre |f| = 2 metre \end{array}$

Since the image is virtual as well as diminished therefore the lens is concave.

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