A dentist is using concave mirror. The focal length is 2 cm. If the dentist holds the mirror 0.5 cm away from the tooth, how much is the tooth magnified and is it inverted or upright?
A)3 times, inverted
B)3 times, upright
C)4/3 times, inverted
D)4/3 times, upright

Question

Quizplus · Accepted Answer

The magnification produced by a concave mirror when the object is placed within the focal length is given by the formula M = -v/u, where v is the image distance and u is the object distance. Since the object (tooth) is within the focal length, the image formed is virtual, upright, and magnified. To find the magnification, we first need to find the image distance using the mirror equation 1/f = 1/v + 1/u. Given f = 2 cm and u = -0.5 cm (object distance is taken as negative in mirror formula), solving for v gives us v = -4/3 cm (negative sign indicates the image is formed on the same side as the object). The magnification, M = -v/u = -(-4/3)/(-0.5) = 4/3, and since the image is virtual and formed on the same side as the object, it is upright.

A Dentist Is Using Concave Mirror