An extended object is placed at a distance of 5.0 cm from a convex lens of focal length 8.0 cm . If a ray diagram is drawn to scale to locate the image, what is the distance of the image from the lens measured from this diagram?

Step-by-step solution

Given object distance, u = -5.0 cm Focal length of the convex lens, f = +8.0 cm Using the lens formula: 1 v - 1 u = 1 f 1 v = 1 f + 1 u 1 v = 1 8.0 + 1 -5.0 1 v = 5 - 8 40 = - 3 40 v = - 40 3 -13.3 cm The negative sign indicates that a virtual image is formed on the same side as the object. The distance of the image from the lens is 13.3 cm .