Which of the following statements are correct regarding the image formed by a concave lens?
(i)The nature of image does not change much with the change in the object distance.
(ii) Always a virtual image is formed.
(iii) The image is larger in size.
(iv) Image is never formed between the optical centre and the focus.

Options

A. Only (i), (ii) and (iii)
B. Only (i) and (ii)
C. Only (iii) and (iv)
D. Only (ii), (iii) and (iv)

Answer

To determine which statements regarding the image formed by a concave lens are correct, let's analyze each statement step by step.

### Step 1: Understand the nature of the image formed by a concave lens
A concave lens always forms a virtual image. This image is upright and reduced in size compared to the object. The image is formed on the same side as the object.

### Step 2: Analyze each statement
1. **Statement (i)**: "The nature of image does not change much with the change in the object distance."
- This statement is **correct**. The image formed by a concave lens remains virtual and upright regardless of the object's distance from the lens.

2. **Statement (ii)**: "Always a virtual image is formed."
- This statement is **correct**. A concave lens always produces a virtual image.

3. **Statement (iii)**: "The image is larger in size."
- This statement is **incorrect**. The image formed by a concave lens is smaller than the object.

4. **Statement (iv)**: "Image is never formed between the optical centre and the focus."
- This statement is **incorrect**. The image can be formed between the optical center and the focus when the object is placed between the lens and the focus.

### Conclusion
Based on the analysis:
- **Correct statements**: (i) and (ii)
- **Incorrect statements**: (iii) and (iv)

### Final Answer
The correct statements regarding the image formed by a concave lens are (i) and (ii).

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