(a) Show that Eq. (34.6) can be written as s' = sf /(s – f) and hence that the lateral magnification, given by Eq. (34.7), can be expressed as m = f / (f – s).
(b) Use these formulas for s' and m to graph s' as a function of s for the case I > 0 (a concave mirror).
(c) For what values of s is s' positive, so that the image is real?
(d) For what values of sis s' negative, so that the image is virtual?
(e) Where is the image if the object is just inside the focal point (s slightly less than I)?
(f) Where is the image if the object is at infinity?
(g) Where is the image if the object is next to the mirror (s = 0)?
(h) Graph m as a function of s for the case of a concave mirror.
(i) For which values of s is the image erect and larger 1han the object?
(j) For what values of s is the image inverted?
(k) For which values of s is the image smaller 1han the object?
(l) What happens to the size of the image when the object is placed at the focal point?