Question

A makeup mirror produces a magnification of 1.5 when a person's face is 11 cm away. Hint cm a. What is the image distance, d.? Use the appropriate sign of de to indicate whether the image is real or Virtual di = b. What is the focal length, f. of the mirror? Use the appropriate sign of f. cm

Answer 1

magnification magnitude = di/do
di and do are distances (without sign) of image and object from mirror.
1.5 = di / 11 cm
di = 16.5 cm
As image formed is virtual
di = -16.5 cm

1/f = 1/di + 1/do
1/f = 1/-16.5cm + 1/11cm
f = +33 cm