Which of the following graphs represents the | vedclass

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(D) For a concave mirror,the magnification $m$ is given by $m = \frac{f}{f - u}$.For a real image,the object distance $u$ is greater than the focal le

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(D) For a concave mirror,the magnification $m$ is given by $m = \frac{f}{f - u}$.For a real image,the object distance $u$ is greater than the focal length $f$ $(u > f)$. Let $x$ be the distance of the object from the focus,so $x = u - f$.Substituting $u = f + x$ into the magnification formula:$m = \frac{f}{f - (f + x)} = \frac{f}{-x} = -\frac{f}{x}$.Taking the magnitude of magnification $|m| = \frac{f}{x}$,we see that $|m| \propto \frac{1}{x}$.This relationship represents a rectangular hyperbola,which corresponds to the graph shown in option $D$.

Which of the following graphs represents the magnification of a real image against the distance from the focus of a concave mirror?

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