Which of the following statements are correct?
(i) The shape of a shadow depends on the position of the source of light.
(ii) A plane mirror can change the direction of light falling on it.
(iii) A pinhole camera forms an erect image of an object on a screen.
(iv) A shadow is formed when light passes through a transparent object .

Options

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

Explanation

To solve the question regarding the correctness of the statements, we will analyze each statement one by one.

### Step-by-Step Solution:

1. **Statement (i): The shape of a shadow depends on the position of the source of light.**
- **Analysis:** This statement is correct. The shape and size of a shadow indeed change based on the position of the light source. For example, if the light source is directly above an object, the shadow will be smaller and more concentrated. If the light source is at an angle, the shadow will be elongated and distorted.
- **Conclusion:** This statement is **correct**.

2. **Statement (ii): A plane mirror can change the direction of light falling on it.**
- **Analysis:** This statement is also correct. A plane mirror reflects light according to the law of reflection, which states that the angle of incidence equals the angle of reflection. Thus, it can change the direction of the light rays that strike it.
- **Conclusion:** This statement is **correct**.

3. **Statement (iii): A pinhole camera forms an erect image of an object on a screen.**
- **Analysis:** This statement is incorrect. A pinhole camera produces an inverted image of the object. The image is real and inverted due to the way light travels through the small aperture.
- **Conclusion:** This statement is **incorrect**.

4. **Statement (iv): A shadow is formed when light passes through a transparent object.**
- **Analysis:** This statement is incorrect. Shadows are formed when light is blocked by an opaque object. Transparent objects allow light to pass through them, and therefore, they do not create shadows.
- **Conclusion:** This statement is **incorrect**.

### Final Conclusion:
From the analysis above, the correct statements are:
- Statement (i) is correct.
- Statement (ii) is correct.
- Statements (iii) and (iv) are incorrect.

Thus, the correct option is that statements (i) and (ii) are correct.