The image formed by a convex lens, when the object is placed between f and 2f is:

Options

A. Real and erect
B. Virtual and inverted
C. Virtual and erect
D. Real and inverted

Answer

To solve the question about the image formed by a convex lens when the object is placed between the focal point (f) and twice the focal point (2f), we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Lens System**:
- Draw the principal axis, which is a straight horizontal line.
- Mark the position of the convex lens on the principal axis.

2. **Identifying the Focal Points**:
- Mark the focal point (f) on one side of the lens.
- Mark the point (2f) which is twice the distance of the focal point from the lens.

3. **Placing the Object**:
- Place the object between the focal point (f) and twice the focal point (2f) on the principal axis.

4. **Drawing Ray Diagrams**:
- Draw a ray parallel to the principal axis from the top of the object. This ray will pass through the focal point (f) on the opposite side of the lens after refraction.
- Draw another ray that passes through the optical center of the lens. This ray will continue in a straight line without bending.

5. **Finding the Image Location**:
- Extend the refracted rays on the opposite side of the lens. The point where these rays converge is where the image is formed.

6. **Analyzing the Image**:
- The image formed will be on the opposite side of the lens from the object.
- The image will be real, inverted, and enlarged.

### Conclusion:
- The image formed by a convex lens when the object is placed between f and 2f is **real**, **inverted**, and **enlarged**.