What will be the position and nature of the image of an object formed by a concave mirror placed between focus )f) and pole (P) of the mirror ?

Options

A. In between pole (P) and focus (f) in front of mirror,virtual and erect
B. In between pole (P) and focus (f) in front of mirror,virtual and inverted
C. Behind the mirror, real and erect
D. Behind the mirror, virtual and erect

Answer

To determine the position and nature of the image formed by a concave mirror when the object is placed between the focus (F) and the pole (P) of the mirror, we can follow these steps:

### Step 1: Understand the Setup
- A concave mirror has a focal point (F) and a pole (P). The distance from the pole to the focus is known as the focal length (f).
- When the object is placed between the focus and the pole, it is located within the focal length of the mirror.

### Step 2: Use the Mirror Formula
The mirror formula is given by:
\[ \frac{1}{f} = \frac{1}{v} + \frac{1}{u} \]
where:
- \(f\) = focal length of the mirror (negative for concave mirrors)
- \(v\) = image distance (positive if the image is on the same side as the object)
- \(u\) = object distance (negative for real objects)

### Step 3: Identify Object Distance
Since the object is placed between the focus and the pole, the object distance \(u\) will be negative and less than the absolute value of the focal length:
\[ u < |f| \]

### Step 4: Analyze Image Formation
For a concave mirror:
- When the object is placed between the focus and the pole, the image formed is virtual, upright, and enlarged.
- The image will appear on the same side as the object.

### Step 5: Conclusion
Thus, the position of the image is virtual and located behind the mirror, and the nature of the image is upright and enlarged.

### Final Answer
- **Position of the Image**: Virtual and located behind the mirror.
- **Nature of the Image**: Upright and enlarged.

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