What are the three characteristics of an image formed if the object is placed at 2F of a convex lens ?

1. The resulting image is formed at 2F

2. The image formed is real and inverted

3. Magnification is 1

Explanation:

1. The image is formed at 2F

When an object is placed at point 2F of a convex lens, the resulting image will also be located at the point 2F on the other side of the lens.

This to say object length is equal to image length.

Using Equations;

u = object distance from the mirror = 2F

v = image distance from the mirror

f = focal length

substitute 2F for u

Therefore

And v = -2f

i.e Image is formed at 2F

2. The image formed is real and inverted;

Real image means the image can be placed on a screen, i.e. light rays will converge at a location which exists in reality and this is accompanied by an inversion whereby an upright object forms an image that is upside-down.

3. Magnification is 1;

Magnification of a convex lens is the ratio of an object height to image height OR the ratio of distance of object to distance of image i.e.

where u = 2f

and v = 2f

M = 1