Question

Draw the following diagram in your answer book and show the formation of the image with the help of suit rays.

Answer 1

Hint:A concave mirror is also known as a converging mirror because it covers the rays towards a point. If we place an object at infinity, the rays converge at focus and form a sharp image there. In this problem, we have the object placed at the point of curvature of the mirror.

Complete answer:
Let us explain what happens when the object is placed at infinity in front of a concave mirror. The image formed is point sized at the focus point of the mirror. Now if you bring the image closer to the mirror and place it between the centre of curvature (C) and infinity, the image is formed between the focus (F) and centre of curvature (C) and is real and inverted and diminished.

From this discussion, we can see that as the object is brought closer to the mirror the image goes far away from the mirror. So when the object is placed at the centre of curvature(C), the image is formed at the centre of curvature but it is inverted which can be explained using the following ray diagram

As we can see the image is formed at the centre of curvature (C) and is of the same size as that of the object and is inverted.

Note: We should note that the concave mirror produces both real and virtual images. When the object is placed very close to the mirror, a virtual and magnified image is obtained and if we increase the distance between the object and the mirror, the size of the image reduces and real images are formed.