MP Board · Class 10 · Science · Light – Reflection and RefractionDraw a ray diagram to show the formation of a real, inverted, and magnified image of an object placed between the focus ($F1$) and twice the focus ($2F1$) of a convex lens. Also state the characteristics and position of the image formed.

Position of Object\nThe object is placed between the principal focus ($F_1$) and twice the focal length ($2F_1$) [also known as $C_1$] in front of a convex lens.

Ray Diagram Description (Theoretical Representation)\nTo construct the ray diagram for this specific case:

1. First Ray: A ray of light coming from the object parallel to the principal axis passes through the principal focus ($F_2$) on the other side of the lens after refraction.
2. Second Ray: A ray of light passing through the optical center ($O$) of the convex lens goes straight without any deviation.
3. Intersection Point: Both refracted rays intersect each other at a point beyond $2F_2$ on the right side of the lens, forming a real and inverted image.

Characteristics and Position of the Image

• Position of Image: Beyond $2F_2$ on the other side of the lens.
• Nature of Image: Real and Inverted.
• Size of Image: Enlarged (Magnified) compared to the object.

Uses of this Case\nThis particular optical configuration is widely utilized in devices where a magnified real image is required, such as in slide projectors, cinema projectors, and photographic enlarging cameras. It helps project a small transparent slide onto a large screen with high clarity and detail.