A spherical mirror produces a magnification of $+1.5$. What can be concluded about the image and the mirror?
AThe image is real, inverted, magnified; the mirror is convex.
BThe image is virtual, erect, magnified; the mirror is concave.
CThe image is virtual, erect, diminished; the mirror is convex.
DThe image is real, inverted, same size; the mirror is concave.
Answer & Solution
Correct answer: B. The image is virtual, erect, magnified; the mirror is concave.
The sign of magnification tells the nature of the image: positive magnification means the image is virtual and erect. Its magnitude is $|m|=1.5>1$, so the image is magnified. A convex mirror always gives a virtual erect image, but it is always diminished, so it cannot produce $+1.5$. Therefore the mirror must be concave, with the object placed between the pole and the focus.
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