A convex lens of focal length 'f' produces a real image whose size is 'm' times the size of an object. The distance of the image from the lens, 'v', is given by

Question

Quantrex Academy · Accepted Answer

Correct answer: D. f(m+1)

For a convex lens forming a real image, the magnification is negative.

M = \dfrac{v}{u} = -m

u = -\dfrac{v}{m}

Using the lens formula:

\dfrac{1}{v} - \dfrac{1}{u} = \dfrac{1}{f}

Substituting the value of

u

:

\dfrac{1}{v} - \left(-\dfrac{m}{v}\right) = \dfrac{1}{f}

\dfrac{1}{v} + \dfrac{m}{v} = \dfrac{1}{f}

\dfrac{1+m}{v} = \dfrac{1}{f}

v = f(m+1)

Answer:

f(m+1)

A convex lens of focal length 'f' produces a real image whose size...

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