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Question

If all the rays are diverging from convex mirror ,then how do we get the image?

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Solution

First let me revise the concept of real and virtual images.
Real image:
the reflection you see in the mirror are the virtual images.
The image formed in the plane mirror or concave mirror is always virtual i.e., image forms in virtual world(behind the mirror) and hence virtual image. You can not touch this image. But still the image exists.

Virtual Image:
a projector, which you must have seen somewhere in your school or class. You are able to see an image on the screen. Such an image, which can be observed on a screen is called Real image, because it actually exists in your real world.

We know that the images are formed when the ray of light converges----

If it converges in the real world they are called real images. Like the image on the movie screen in theatres.

Similarly if the rays of light diverges we cant see any real image as in case of convex mirror, but however it seems to converge behind the mirror (virtual world) and hence we see virtual image.

(NOTE: For now you must only understand the concept of real and virtual images. The real working of the converging and diverging rays on mirror and lenses will be studied later in higher classes.)

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