Physics - Geometrical Optics Question with Solution | TestHub

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

$M=\frac{v}{u}=-m$

$u=-\frac{v}{m}$

Using the lens formula:

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

Substituting the value of $u$:

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

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

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

$v=f(m+1)$

Answer: $f(m+1)$