MP Board · Class 10 · Science · Light – Reflection and RefractionDraw a neat ray diagram to show the formation of a real and inverted image by a concave mirror when the object is placed between the focus and the center of curvature. Also, explain the characteristics of the image formed and state the mirror formula.

Introduction to Concave Mirror Image Formation\nA concave mirror is a spherical mirror whose reflecting surface is curved inwards. When an object is placed at various positions in front of a concave mirror, it forms different types of images. When the object is positioned specifically between the focus ($F$) and the center of curvature ($C$), a distinct real and inverted image is formed beyond the center of curvature.

Ray Diagram Details (Mental Construction for Drawing)

• Object Position: Between Focus ($F$) and Center of Curvature ($C$).
• Ray 1: A ray parallel to the principal axis passes through the principal focus ($F$) after reflection.
• Ray 2: A ray passing through the principal focus ($F$) emerges parallel to the principal axis after reflection.
• Intersection Point: Both reflected rays intersect beyond the center of curvature ($C$) to form the image.

Characteristics of the Image Formed

1. Nature of Image: Real and inverted.
2. Position of Image: Beyond the center of curvature ($C$).
3. Size of Image: Enlarged (magnified) compared to the object.

Mirror Formula\nThe mirror formula establishes a relationship between object distance ($u$), image distance ($v$), and focal length ($f$) of a spherical mirror. It is given by the equation:

$$\frac{1}{f} = \frac{1}{v} + \frac{1}{u}$$\nWhere:

• $f$ = Focal length of the mirror
• $v$ = Distance of image from the pole
• $u$ = Distance of object from the pole\nThis formula is universally applicable for both concave and convex mirrors under standard sign conventions.