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 9.8 cm from the lens.

Step-by-step solution

Given f = +10 cm and u = -9.8 cm . Using the lens formula: 1 v - 1 u = 1 f 1 v = 1 f + 1 u 1 v = 1 10 - 1 9.8 1 v = 1 10 - 10 98 1 v = 49 - 50 490 1 v = - 1 490 v = -490 cm The negative sign indicates that the image is formed on the same side as the object. Since the image is formed by actual divergence of rays from the same side, it is virtual. Therefore, the image is at 490 cm on the side of the object and is virtual.