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An object lies at a distance of $2f$ from a concave lens of focal length $f$. Draw a ray-diagram to illustrate the image formation.
For a concave lens, when an object is placed anywhere between the optical center $(C)$ and infinity, the image is formed between the optical center $(C)$ and the focus $(F)$. Hence, when the object is placed at $2f$ from the concave lens of focal length $f$, the image is formed between the optical center $(C)$ and the focus $(F)$. Also, the nature of the image formed is virtual and erect, and the size is diminished.
The ray diagram given below illustrates the image formed by the concave lens:
Explanation
Diverging Lens or Concave Lens $-$ It is a lens that possesses at least one surface that curves inwards in the middle. In other words, it is thin across the middle and thick at the upper and lower edges, because of which the light that enters the lens, gets spread out, or diverges, which results in forming a smaller image. Due to this effect, it is also called a negative lens or a diverging lens.
The image formed by a concave lens is virtual & erect, which means it will appear to be farther away than it actually is, and therefore smaller than the object itself.
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