 |
| Derivation of Lens Formula (Convex Lens) |
 |

|
| Let AB represent an object placed at right angles to the principal axis at a distance greater than the focal length f of the convex lens. The image A1B1 is formed beyond 2F2 and is real and inverted. |
| |
| OA = Object distance = u |
| |
| OA1 = Image distance = v |
| |
| OF2 = Focal length = f |
| |
OAB and OA1B1 are similar |
| |
 |
| |
 |
| |
| But we know that OC = AB |
| |
the above equation can be written as |
| |
 |
| |
 |
| |
| From equation (1) and (2), we get |
| |
 |
| |
 |
| |
 |
| |
| Dividing equation (3) throughout by uvf |
| |
 |
| |
 |
| |