What would you use to obtain a real and inverted image for any position of an object?

Options

A. A convex mirror or a concave lens.
B. A concave mirror or a concave lens.
C. A concave mirror or a convex lens.
D. A convex mirror or a convex lens.

Answer

To obtain a real and inverted image for any position of an object, we can use either a concave mirror or a convex lens. Here’s a step-by-step explanation of how each option works:

### Step-by-Step Solution:

1. **Understanding Image Formation**:
- A real image is formed when light rays converge and pass through a point. An inverted image means that the image is upside down compared to the object.

2. **Analyzing the Options**:
- **Convex Mirror**:
- A convex mirror diverges light rays. When parallel rays hit a convex mirror, they reflect outward, making it impossible to form a real image. Therefore, this option is not suitable.
- **Concave Lens**:
- A concave lens also diverges light rays. Any object placed in front of a concave lens will produce a virtual image, not a real one. Hence, this option is also rejected.

3. **Considering Concave Mirror**:
- A concave mirror can form a real and inverted image if the object is placed beyond the focal point. When the object is positioned beyond the focus, the rays converge after reflecting off the mirror, forming a real image. This image is inverted, making this option valid.

4. **Considering Convex Lens**:
- A convex lens can also create a real and inverted image if the object is placed beyond the focal point. The parallel rays passing through the lens converge at a point on the other side, forming a real image that is inverted. Thus, this option is also valid.

5. **Conclusion**:
- The best options for obtaining a real and inverted image for any position of an object are:
- **Concave Mirror** (when the object is beyond the focal point)
- **Convex Lens** (when the object is beyond the focal point)

### Final Answer:
To obtain a real and inverted image for any position of an object, you can use either a **concave mirror** or a **convex lens**.

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