A convex lens has a focal length of 10 cm . Determine the location and nature of the image when a point object is positioned on the principal axis at a distance of 10.2 cm from the lens.

Step-by-step solution

Given focal length of the convex lens, f = +10 cm Object distance, u = -10.2 cm Using the lens formula: 1 v - 1 u = 1 f 1 v - 1 -10.2 = 1 10 1 v = 1 10 - 1 10.2 1 v = 10.2 - 10 10 10.2 1 v = 0.2 102 = 1 510 v = +510 cm Since v is positive, the image is real and formed at a distance of 510 cm on the other side of the lens.