The magnification produced by a convex lens is -2. What is meant by thisstatement? Also write the information regarding image obtained from it.

Understanding Magnification

1. Definition of Magnification: Magnification (denoted as $m$) is defined as the ratio of the height of the image ($h'$) to the height of the object ($h$). It can be expressed mathematically as: $m = \frac{h'}{h}$

2. Negative Magnification: A magnification value of -2 indicates that the image is inverted (which occurs when $m < 0$) and that the image is twice the height of the object. Specifically, this means: $h' = -2h$ Thus, if the object is upright, the resulting image will appear upside down relative to the original object.

Information Regarding the Image

1. Nature of Image: The image is virtual and inverted. In optical terms, this suggests that the convex lens produces an image on the same side as the object.

2. Size of Image: The fact that the magnification is -2 indicates that the image will be larger than the object, specifically 200% of the object's size but inverted.

3. Position of Image: A convex lens typically forms a virtual image when the object is placed within the focal length. This means that the object is located closer to the lens than its focal point, leading to the formation of a virtual image.

Conclusion

In summary, a magnification of -2 signifies that the image is inverted and twice the size of the object, indicating the formation of a virtual image when the object is placed within the focal length of a convex lens.