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The image formed by a converging lens of focal length is ...

The image formed by a converging lens of focal length is of a distance of 2f from the lens. Calculate the lateral magnification produced

A.

0.5

B.

1

C.

1.5

D.

2

E.

3

Correct answer is B

Using the lens formula,

1v+1u=1f

Where u, v and f are the object distance, image distance and focal length respectively.

\frac{1}{u} = \frac{1}{2f} - \frac{1}{f} \implies \frac{1}{u} = \frac{1}{2f}

u = 2f

\therefore Magnification = \frac{\text{image distance}}{\text{object distance}}

= \frac{2f}{2f}

= 1