^Mathematical relations for mirrors
^Mathematical relations for mirrors

^Mathematical relations for mirrors

^Sign conventions
Following are the sign conventions for all types of mirrors, lenses, spherical refracting surfaces
1. All distances are measured from the pole of the mirror.
2. Distances measured in the direction of incident ray are +ve & that measured in the opposite direction are –
3. Distances measured upward to the principle axis are +ve & that measured downward are –
Using the image formation rules, sign conventions & simple laws of geometry we can prove the relation between u, v, f, m, I, O, f, R & P.
Don’t put the sign for the quantity to be calculated.
^Divergent power

1. Bends the reflected (or refracted) rays away from the principal axis
2. Has negative optical power
3. e.g. a convex mirror & a concave lens (placed in rarer surroundings)
^Convergent power

1. Bends the reflected (or refracted) rays towards the principal axis
2. Has positive optical power
3. e.g. a concave mirror & a convex lens (placed in rarer surroundings)
4. our eyes
5. Used in compound microscope, telescopes, cameras.
^Magnified image
Inequality sign reverses for diminished image
^Virtual focus
^Real focus
^Virtual image
^Real image
^Virtual object

1. A position at which incident rays converge
2. situated behind the mirror i.e. towards the polished side
3. u = + ve for both lenses & mirror