Question

When the object is placed very close to the lens, the image formed is virtual, erect and

• A. diminished
• B. smaller in size
• C. magnified
• D. bigger in size

Hint:

A convex lens acts as a magnifying glass only when the object is placed within its focal length (\(|u| \lt f\)).
The resulting image is virtual, erect, and magnified.

Answer 1

The Correct Option is C

Step 1: Understanding the Question:
The question asks about the size of the image formed by a convex lens when an object is placed very close to it (inside its focal length).

Step 2: Key Formula or Approach:
We use the ray diagram rules for a convex lens when the object distance \(u\) is less than the focal length \(f\) (\(|u| \lt f\)).

Step 3: Detailed Explanation:

• A convex lens is a converging lens. When an object is placed far away, it forms real and inverted images.

• However, when the object is brought very close to the lens, specifically between its principal focus (\(F_1\)) and the optical center (\(O\)):
- The light rays diverging from the object cannot converge after passing through the lens.
- Instead, the refracted rays diverge on the other side.
- When these diverging rays are projected backward, they appear to meet at a point on the same side as the object.
- This forms a virtual, erect, and significantly enlarged image.

• In scientific terminology, an enlarged image is referred to as a magnified image.
- This is the operating principle of a simple magnifying glass.


Step 4: Final Answer:
The image formed is virtual, erect, and magnified.