Question

Write down a formula for the magnification produced by a concave mirror.

(a) in terms of height of object and height of image
(b) in terms of object distance and image distance

Answer 1

The formula for the magnification (m) produced by a concave mirror,
(a)In terms of the height of an object (h) and the height of an image (h') is as follows:

Magnification (m) = $\frac{\mathrm{height}\mathrm{of}\mathrm{image}}{\mathrm{height}\mathrm{of}\mathrm{object}}$ = $\frac{\mathrm{h}\text{'}}{\mathrm{h}}$

(b) In terms of the object distance (u) and the image distance (v) is as follows:

Magnification (m) = $-\frac{\mathrm{image}\mathrm{distance}}{\mathrm{object}\mathrm{distance}}=-\frac{\mathrm{v}}{\mathrm{u}}$