Final answer:
The false statement for the image formed by a single lens is that a real image is always inverted, as there can be situations where a virtual image is upright depending on the object's placement relative to the lens. The choice of option is (b).
Step-by-step explanation:
The statement that is false for the image formed by a single lens is a real image is always inverted. While real images produced by converging lenses are indeed normally inverted when the object is placed farther than the focal length from the lens, this is not universally true. For example, if an object is placed between the focal point (f) and a convex lens, the resulting image will be virtual, not real, and will also be upright and larger than the object (case 2 image).
Real images are formed when light rays converge on a point, and such images can be viewed on a screen because the light actually passes through the point where the image appears. Virtual images, on the other hand, are formed when light rays diverge from a point and only appear to originate from a certain location behind the lens or mirror, making it impossible to project them onto a screen since they don't actually pass through that space.
Case 1 images produced by converging lenses are inverted and formed when the object is farther from the lens than its focal length; concave (diverging) lenses, however, always produce virtual, upright, and smaller images referred to as case 3 images. The false statement in question implies a misunderstanding of how virtual and real images vary depending on the lens type and object placement.