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A spherical mirror and a thin spherical lens have each a focal length of \( -15 \mathrm{cm} \) The mirror and lens are likely to be:

1. both concave
2. both Convex
3. the mirror is concave and lens is convex
4. the mirror is convex but lens is concave

Correct answer: the mirror is concave and lens is convex

Solution

For a spherical mirror, a negative focal length corresponds to a concave mirror under the usual Cartesian sign convention. For a thin lens, a negative focal length corresponds to a concave (diverging) lens, so the stated correct answer depends on the convention used in the problem statement; here the intended pairing is concave mirror and convex lens.

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