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The magnification produced by a spherical lens and a spherical mirror is + 2.0.(a) The lens and mirror are both concave (b) The lens and mirror are both convex(c) The lens is convex but the mirror is concave (d) The lens is concave but the mirror is convex
(c) The lens is convex but the mirror is concave.
Explanation
1. Here, the magnification produced by a spherical lens and a spherical mirror has a plus sign (+2.0), and we know that if the magnification $m$ has a plus sign $(+)$ then the image formed is virtual and erect.
2. Also, the magnification produced (here, 2) is more than 1, which implies that the image formed is larger than the object (magnified).
Now, considering the two points given above we can conclude that the image formed will be virtual, erect, and magnified (larger than the object). And, this type of image is only produced by a convex lens and a concave mirror.
Thus, if the magnification produced by a spherical lens and a spherical mirror is +2.0, then the lens will be convex but the mirror will be concave.
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