A converging lens can from a virtual image if the object is placed

Options

A. Between the lens and its focus
B. At the focus of the lens
C. Between f and 2f
D. At infinity

Answer

To determine when a converging lens (or convex lens) can form a virtual image, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Lens**: A converging lens is also known as a convex lens. It has the property of converging light rays that are incident on it.

2. **Identifying the Focal Point**: The focal point (F) of a convex lens is the point where parallel rays of light converge after passing through the lens. The distance from the optical center (O) of the lens to the focal point is known as the focal length (f).

3. **Positioning the Object**: For a converging lens to produce a virtual image, the object must be placed at a specific location relative to the lens.

4. **Condition for Virtual Image Formation**: A virtual image is formed when the object is placed between the focal point (F) and the optical center (O) of the lens. This means that the object distance (u) is less than the focal length (f).

5. **Ray Diagram**: To visualize this, we can draw a ray diagram:
- Draw the optical axis.
- Mark the optical center (O) and the focal point (F).
- Place the object (e.g., an arrow) between O and F.
- Draw rays from the top of the object:
- One ray parallel to the optical axis that refracts through the focal point on the opposite side.
- Another ray passing through the optical center that continues in a straight line.
- The refracted rays diverge, and if we extend them backward, they appear to converge at a point on the same side as the object, forming a virtual image.

6. **Conclusion**: Therefore, we conclude that a converging lens can form a virtual image when the object is placed between the lens and its focus.

### Final Answer:
A converging lens can form a virtual image if the object is placed **between the lens and its focus**.

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