Sign convention for Spherical Mirrors ( Concave and convex mirror) :
According to new Cartesian sign convention:
- All distance are measured from the pole of the mirror as origin
- Distance measured in the same direction as that of incident light are taken as positive.
- Distance measured against the direction of incident light are taken as negative.
- Distance measured upward and perpendicular to the principal axis are taken as positive.
- Distance measured downward and perpendicular to the principal axis are taken as negative.
- The object is always placed on the left side of mirror.
- All the distance measured from the pole(p) of mirror to the right side will be considered positive.
- All the distance measured from the pole (p) of mirror to the left side will be negative.
Some important conclusion for sign convention :
- The object distance (u) is always negative.
- If an image is formed behind a concave mirror ( to the right side ) , the image distance (v) is positive.
- If the image is formed in front of the mirror ( on the left side ) , then the image distance will be negative.
- The image distance (v) for a convex mirror will be always positive.
- The focal length of a concave mirror is considered negative.
- The focal length of a convex Mirror is considered Positive.
- If an image is formed above the principal axis , it's height is taken as positive.
- If an image is formed below the principal axis , then it's height is taken as negative.
- The height of all the virtual and Eract images is considered positive.
- The height of all the real and inverted image is taken as negative.