A point object is placed on the optic axis of a convex lens of focal length f at a distance of 2 f to the left of it. The diameter of the lens is d . An eye is placed at a distance of 3 f to the right of the lens and a distance h below the optic axis. The maximum value of h to see the image is

Step-by-step solution

The object is placed at u = -2f . Using the lens formula 1 v - 1 u = 1 f , we have 1 v - 1 -2f = 1 f , which gives 1 v = 1 f - 1 2f = 1 2f . Thus, v = 2f . The image is formed at a distance of 2f to the right of the lens. The eye is placed at a distance of 3f to the right of the lens. Let the optic axis be the x-axis. The image is formed at (2f, 0) . The eye is at (3f, -h) . The light rays from the image at (2f, 0) must pass through the lens of diameter d to reach the eye. The lens extends from y = -d/2 to y = d/2