When an object is placed between f and 2f of a concave mirror, the image formed is

Options

A. Real, diminished
B. Real, magnified
C. Virtual, diminished
D. Virtual, magnified

Explanation

To determine the characteristics of the image formed when an object is placed between the focal point (f) and twice the focal point (2f) of a concave mirror, we can follow these steps:

### Step 1: Understand the Setup
We have a concave mirror with a focal length (f) and a radius of curvature (R) which is equal to 2f. The object is placed between the focal point (f) and twice the focal point (2f).

### Step 2: Draw the Ray Diagram
1. Draw a concave mirror and label its principal axis.
2. Mark the focal point (f) and the center of curvature (C or 2f) on the principal axis.
3. Place the object (AB) between f and 2f.

### Step 3: Trace the Rays
1. Draw a ray from the top of the object (point A) parallel to the principal axis. This ray will reflect and pass through the focal point (f).
2. Draw a second ray from point A that passes through the focal point (f). Upon reflection, this ray will travel parallel to the principal axis.

### Step 4: Locate the Image
- The two reflected rays will converge at a point below the principal axis. This point is where the image (A'B') is formed.

### Step 5: Analyze the Image Characteristics
1. **Real vs. Virtual**: Since the rays converge at a point, the image is real.
2. **Inverted vs. Upright**: The image is inverted because the top of the object (A) is now at the bottom of the image (A').
3. **Size of the Image**: The height of the image (A'B') is greater than the height of the object (AB), indicating that the image is magnified.

### Conclusion
When an object is placed between f and 2f of a concave mirror, the image formed is:
- Real
- Inverted
- Magnified

### Final Answer
The correct characteristics of the image are: **Real, Inverted, and Magnified**.

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