At what distance from a concave mirror of foc | vedclass

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(C) For a concave mirror,the focal length $f = -10 \, cm$. The magnification $m$ can be $2$ (virtual image) or $-2$ (real image).Using the magnificati

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$5 \, cm$ or $15 \, cm$

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(C) For a concave mirror,the focal length $f = -10 \, cm$. The magnification $m$ can be $2$ (virtual image) or $-2$ (real image).Using the magnification formula $m = \frac{f}{f - u}$:Case $1$: For $m = 2$ (virtual image),$2 = \frac{-10}{-10 - u} \implies -20 - 2u = -10 \implies 2u = -10 \implies u = -5 \, cm$.Case $2$: For $m = -2$ (real image),$-2 = \frac{-10}{-10 - u} \implies 20 + 2u = -10 \implies 2u = -30 \implies u = -15 \, cm$.Thus,the object can be placed at $5 \, cm$ or $15 \, cm$ from the mirror.

At what distance from a concave mirror of focal length $10 \, cm$ should an object be placed to get a magnification of $2$?

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