A real inverted and diminished image is formed by a convex lens when the object is(A) beyond 2 F but not at infinity(B) between F and 2F(C) at 2F(D) at F

To solve this question, let's understand how the position of the object affects the image formed by a convex lens.
Key Concepts:
• A real image is formed on the opposite side of the lens from the object.
• An inverted image means the image is upside down compared to the object.
• A diminished image means the image is smaller than the object.
• The focal length of the lens is denoted by FF, and the object is placed at a distance from the lens, denoted by uu.
Behavior of a Convex Lens:
For a convex lens:
1. Object beyond 2F (twice the focal length):
o The image formed is real, inverted, and diminished. The image is formed between F and 2F on the opposite side of the lens.
2. Object at 2F:
o The image formed is real, inverted, and of the same size as the object. The image is also formed at 2F on the opposite side.
3. Object between F and 2F:
o The image formed is real, inverted, and magnified (larger than the object). The image is formed beyond 2F.
4. Object at F:
o The image formed is at infinity, and the image is highly magnified.
Answer:
• Since the question asks for a real, inverted, and diminished image, this occurs when the object is beyond 2F but not at infinity.
Correct Answer:
A. Beyond 2F but not at infinity.