Describe the characteristics of an image formed by a converging lens

3.2.3 Thin Lenses – Converging Lens Image Characteristics

Key Image Characteristics

1. Image Position (v) – The distance from the lens to the image. It depends on the object distance (u) and the focal length (f) via the lens formula:

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

2. Image Size (hᵢ) – Related to object size (hₒ) by magnification:

   $$m = \frac{hᵢ}{hₒ} = -\frac{v}{u}$$

   Positive m → upright image; negative m → inverted.

3. Image Orientation – For a converging lens:
   • Object beyond 2f → inverted, reduced.
   • Object at 2f → inverted, same size.
   • Object between f and 2f → inverted, enlarged.
   • Object at f → no real image (rays parallel).
   • Object inside f → virtual, upright, enlarged.
4. Real vs Virtual – If the image lies on the opposite side of the lens from the object, it is real and can be projected on a screen. If it lies on the same side as the object, it is virtual and can only be seen by looking through the lens.

Lens Formula Table

Common Mistakes to Avoid

• Using the wrong sign for u or v.
• Forgetting that magnification m = -v/u.
• Assuming all images formed by a converging lens are inverted.
• Mixing up object distance (u) with image distance (v) when interpreting diagrams.