What is the nature of the image produced by a convex lens when the object is placed at a distance greater than twice the focal length?

When an object is placed at a distance greater than twice the focal length of a convex lens, the image characteristics can be determined using the lens formula and the general behavior of lenses.

In this scenario, the light rays from the object converge after passing through the lens, resulting in a real image. A real image is one that can be projected onto a screen, as the light rays actually converge at the image location. This is a fundamental property of convex lenses when dealing with objects positioned beyond the twice the focal length mark.

Furthermore, when the object is placed at this distance, the image produced is also inverted. This means that the top of the object appears at the bottom of the image and vice versa. The inversion occurs due to the way light rays bend as they pass through the lens, ultimately converging on the other side in an inverted orientation.

Thus, for an object positioned at a distance greater than twice the focal length from a convex lens, the resulting image is characterized as inverted and real, confirming the correct choice.