Question

Describe the sign convention for spherical mirrors

Answer 1

Sign is taken as + (positive) behind the spherical mirror. For example if an image is formed behind the mirror, the distance of image is taken as + (positive) from pole along the principal axis.The height of is taken as + (positive) above the principal axis and taken as – (negative) below the principal axis.
Cartesian Sign Convention: In the case of spherical mirror all signs are taken from Pole of the spherical mirror, which is often called origin or origin point. This sign convention is known as New Cartesian Sign Convention.

Mirror formula shows the relation among distance of object, distance of image and focal length in case of spherical mirror. All distances are measured from pole of the mirror.

The distance of object is denoted by ‘u’
The distance of image is denoted by ‘v’
Focal length is denoted by f

1/v+ 1/u = 1/f

By knowing any two, the third can be calculated using the mirror formula.

Answer 2

It is quite simple.

→For side which is silvered, we take + sign

→For side which reflects, we take - sign

→For points above axis, we take + sign

→For points below axis, we take - sign

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