Mirror Formula and Magnification

Mirror Formula and Magnification Definition: The mirror formula is a mathematical equation that relates the distance of an object from the mirror to the...

Mirror Formula and Magnification

Definition:

The mirror formula is a mathematical equation that relates the distance of an object from the mirror to the distance of the image from the mirror. It is a direct relationship between the object distance and the image distance.

$\frac{1}{d_o} + \frac{1}{d_i} = \frac{1}{d_m}$

where:

d_o is the distance of the object from the mirror
d_i is the distance of the image from the mirror
d_m is the distance of the image from the mirror

Significance:

The mirror formula is a fundamental principle in optics that helps us understand how mirrors work. It allows us to calculate the size and position of an image formed by a mirror.

Examples:

If an object is placed at a distance of 10 cm from the mirror, and the image is formed at a distance of 30 cm from the mirror, then the mirror formula would be:

$\frac{1}{10} + \frac{1}{30} = \frac{1}{d_m}$

If an object is placed at a distance of 20 cm from the mirror, and the image is formed at a distance of 40 cm from the mirror, then the mirror formula would be:

$\frac{1}{20} + \frac{1}{40} = \frac{1}{d_m}$

Applications:

The mirror formula is widely used in various applications, including:

Designing eyeglasses to correct nearsightedness or farsightedness.
Building telescopes to enlarge the images of objects.
Creating mirrors for various purposes, such as shaving and makeup