A convex mirror is used to form an image of a real object. The image
(i) always lies between the pole and the focus
(ii) is dimished in size
(iii) is erect
(iv) is real

Options

A. The image lies between the pole and focus
B. The image is diminished in size
C. The image is erect
D. The image is real

Answer

To solve the question regarding the characteristics of the image formed by a convex mirror, we can analyze each of the given statements step by step.

### Step 1: Understanding the Characteristics of a Convex Mirror
A convex mirror is a spherical mirror that bulges outward. It has the following properties:
- The focal length (f) is positive.
- The image formed by a convex mirror is virtual, erect, and diminished in size.

### Step 2: Analyzing Each Statement

**Statement (i): The image always lies between the pole and the focus.**
- In a convex mirror, the image is formed behind the mirror. The focus is virtual and located on the same side as the object. The image will always be between the pole (the surface of the mirror) and the focus. Thus, this statement is **correct**.

**Statement (ii): The image is diminished in size.**
- The magnification (M) of a convex mirror is always less than 1, which means the image is smaller than the object. Therefore, this statement is also **correct**.

**Statement (iii): The image is erect.**
- The image formed by a convex mirror is always erect (upright). Hence, this statement is **correct**.

**Statement (iv): The image is real.**
- A convex mirror always forms a virtual image, which cannot be projected on a screen. Therefore, this statement is **incorrect**.

### Conclusion
Based on the analysis:
- Statements (i), (ii), and (iii) are correct.
- Statement (iv) is incorrect.

### Final Answer
The correct options are (i), (ii), and (iii).

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