Question

An object is placed 50.0 cm from a concave spherical mirror with focal length of magnitude 20.0 cm.
(a) Find the location of the image.
(b) What is the magnification of the image?
(c) Is the image real or virtual?
(d) Is the image upright or inverted?

Answer 1

the concave mirror is converging mirror so the focal length is $f=20m$

then $\frac{1}{p}+\frac{1}{q}=\frac{1}{f}$ gives,

$\frac{1}{50}+\frac{1}{q}=\frac{1}{20}\to q=33.3cm$

since q > 0, the images is located 33.3 cm front of the mirror.

(b) $M=-\frac{q}{p}$

$=-\frac{33.3}{50}=-0.666$

(c) image distance is positive so the image is real

(d) the magnification is negative so the image is inverted.