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State mirror formula. Is the same formula applicable to both concave and convex mirrors? Define magnification for a spherical mirror.

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Mirror formula: It is a mathematical relation between the object distance is image distance ‘v’ and focal length ‘f of a spherical mirrors. This relation is

\(\frac{1}{u}+\frac{1}{v}= \frac{1}{f}\) or \(\frac{1}{v}+\frac{1}{u}= \frac{1}{f}\)

This formula is applicable to all concave and convex mirrors 

Magnification by a spherical mirror:

The ratio of the height of the image to the height of the object is called magnification. It is denoted by in m = \(\frac{h'}{h}\) Where h' = image height, h = object height

Note: Magnification ‘m’ is also related to the object distance (u) and image distance (v). It can be expressed as

m = \(\frac{h'}{h}=\frac{-v}{u}\)

A negative sign in the value of magnification indicates that the image is real.

A positive sign in the value of magnification indicates that the image is virtual.

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