A person wants a real image of his own,3 time | vedclass

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(D) Given: Magnification $m = -3$ (since the image is real,it must be inverted). Radius of curvature $R = -30 \ cm$. Focal length $f = R/2 = -15 \ cm$

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$20$

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(D) Given: Magnification $m = -3$ (since the image is real,it must be inverted). Radius of curvature $R = -30 \ cm$. Focal length $f = R/2 = -15 \ cm$.Using the magnification formula: $m = -v/u \Rightarrow -3 = -v/u \Rightarrow v = 3u$.Using the mirror formula: $1/f = 1/v + 1/u$.Substituting the values: $1/(-15) = 1/(3u) + 1/u$.$1/(-15) = (1 + 3)/(3u) = 4/(3u)$.$-3u = 60 \Rightarrow u = -20 \ cm$.The negative sign indicates that the person should stand $20 \ cm$ in front of the concave mirror.

$A$ person wants a real image of his own,$3$ times enlarged. Where should he stand in front of a concave mirror of radius of curvature $30 \ cm$ (in $cm$)?

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