Question

A pin 3 cm tall is placed 10 cm in front of a mirror of focal length 8 cm. Determine the graphical method:

a) Nature of the image
b) The image distance
c) Magnification of the image

Answer 1

The image formed by the mirror is virtual, located 40 cm behind the mirror and has a magnification of -4.

Step-by-step explanation:

To determine the nature of the image, we can use the mirror formula:

1/f = 1/v - 1/u

where f is the focal length of the mirror (8 cm), v is the image distance, and u is the object distance. Plugging in the given values, we get:

1/8 = 1/v - 1/10

Solving for v, we find that the image distance is 40 cm from the mirror.

Using the magnification formula, m = -v/u, where m is the magnification, we can calculate the magnification of the image:

m = -(40/10) = -4

Therefore, the image is virtual, 40 cm behind the mirror, and the magnification is -4.