Three Dimensional Image The longitudinal magnification is defined as m' = ds'/ds. It relates the longitudinal dimension of a small object to the longitudinal dimension of its image.
(a) Show that for a spherical mirror, m' = – m2. What is the significance of the fact that m' is always negative?
(b) A wire frame in the form of a small cube 1.00 mm on a side is placed with its center on the axis of a concave mirror with radius of curvature 150.0 cm. The sides of the cube are all either parallel or perpendicular to the axis. The cube face toward the mirror is 200.0 cm to the left of the mirror vertex. Find (i) the location of the image of this face and of the opposite face of the cube; (ii) the lateral and longitudinal magnifications; (iii) the shape and dimensions of each of the six faces of the image.