A coin is placed at a focal point of a converging lens. Is an image formed? If yes, is it real or virtual , erect or inverted, larger or smaller than the object?

Yes, an image will be formed.

The image will be formed at infinity. Because rays after refraction become parallel.
Some books say that image will not be formed if object is placed at focal point.. but image will form but at infinity.
You can understand this better by the example of a telescope.

Yes, an image is formed when a coin is placed at a focal point of a converging lens. In this case, the image formed is a virtual image. It is also erect, meaning it has the same orientation as the object. However, the image is larger than the object.

To determine if an image is formed by a converging lens when a coin is placed at its focal point, we need to consider the characteristics of the lens and its placement relative to the object.

A converging lens, also known as a convex lens, is a lens that is thicker in the middle and thinner at the edges. It converges parallel light rays to a focal point on the opposite side of the lens.

When an object is placed at the focal point of a converging lens, the lens refracts the light in such a way that the refracted rays become parallel and no image is formed. This is because the refracted rays do not diverge or converge after passing through the lens.

Therefore, in this case, no image will be formed by the lens when the coin is placed at its focal point.

If the object (coin) were placed between the focal point and the lens, a virtual, erect, and magnified image would be formed. However, since the object is placed exactly at the focal point, no image is created.