Question

Draw the ray diagram for the image formation by a lens which shows a magnification of +2.

Hint:

Magnification +2 means virtual, erect, enlarged image. Only convex lens can produce this when object is between F and O. Image is formed on same side, beyond 2F (virtual).

Answer 1

Ray Diagram for Image Formation by a Lens Showing Magnification of +2:

A magnification of +2 means:

– The image is virtual (positive sign).
– The image is erect.
– The image is twice the size of the object.

Such an image is formed by a convex lens when the object is placed between the optical centre (O) and the principal focus (F).

Neat Ray Diagram:

                      I
                      ↑
                      |
                      |
                F      |      F
  --------------|------|------|----------------
                |      O
                |\
                | \
                |  \
                |   \
                |    \
                ↑
              Object
  

Explanation of the Ray Diagram:

1. The object is placed between the optical centre (O) and the focus (F) of a convex lens.
2. One ray from the top of the object travels parallel to the principal axis and refracts through the focus on the other side.
3. Another ray passes through the optical centre without deviation.
4. The refracted rays diverge, but their backward extensions meet on the same side of the lens.
5. The image formed is virtual, erect, and magnified (magnification = +2).

Conclusion:
A magnification of +2 is produced by a convex lens when the object is placed between the optical centre and the principal focus, resulting in a virtual, erect, and enlarged image.