Problem $1$: An object $7\mathrm{.}0$ mm high is placed $14$ cm from a spherical concave mirror of radius of curvature $20$ cm $.($a$)$ Show by ray tracing that the image is virtual or real and determine the image distance and magnification. $($b$)$ Show that the image distance can be computed using the focal length $\backslash ($ R $/2\backslash ).($c$)$ Compute the image size.

You must draw the ray diagram to scale to receive full credit; you may also use drawing$/$drafting software to draw the diagram. $[20$pts$]$