In any optical system where images are formed from objects, the ratio of the image height, hi, to the object height, ho is known as the magniﬁcation, m.

For a plane mirror, the height of the image is the same as the height of the object, so the magniﬁcation is simply m = hi/ho = 1.

If the magniﬁcation is

__greater than 1__, the image is larger than the object and is said to be

__magniﬁed.__

If the magniﬁcation is

__less than 1__, the image is smaller than the object so the image is said to be

__diminished__.

Example:

Question:

A concave mirror forms an image that is 3.6 cm high. The height of the object is 1.2 cm. Calculate the magniﬁcation of the mirror.

Suggested solution,

Step 1 : Identify what is given and what is asked.

Image height hi = 3.6 cm

Object height ho = 1.2 cm

Magniﬁcation m = ?

Step 2 : Substitute the values and calculate m.

m = hi/ho

= 4.8/1.6

= 3

The magniﬁcation is 3 times.

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