Two light rays parallel to the optic axis of a concave mirror strike that mirror as shown in the figure. The mirror has a radius of curvature equal to $4\mathrm{.}99$ m $.$ They then strike a small spherical mirror that is $2\mathrm{.}03$ m from the large mirror. The light rays finally meet at the vertex of the large mirror.

Tipler $\backslash$& Mosca, Physics for Scientists and

Engineers, $6$e $2008$ W$.$H$.$ Freeman and

Company

In the figure, the small mirror is shown as planar, so as not to give away the answer, but it is not actually planar.

What is the radius of curvature, $\backslash ($ R $\backslash ),$ of the small mirror?

$\backslash [$

R$=$

$\backslash ]$

Is the small mirror convex or concave?

convex

concave