The image formed by a convex lens

Options

A. is always virtual
B. is always real
C. is always virtual if object is real
D. is always real if object is virtual

Explanation

To solve the question regarding the nature of the image formed by a convex lens, we will analyze the different scenarios based on the type of object (real or virtual) placed in front of the lens.

### Step-by-Step Solution:

1. **Understanding Convex Lens Behavior**:
A convex lens converges light rays that are incident on it. Depending on the position of the object relative to the lens, the nature of the image formed can vary.

2. **Case 1: Real Object**:
- When a real object is placed outside the focal length of a convex lens, the lens forms a real image on the opposite side of the lens. This image is inverted and can be projected onto a screen.
- If the object is placed between the focal point (F) and the lens, the image formed is virtual, upright, and located on the same side as the object.

3. **Case 2: Virtual Object**:
- A virtual object can be considered as an object from which the light rays appear to diverge. This typically occurs when the object is located on the same side as the incoming light rays (for instance, when using a mirror or another lens).
- When a virtual object is placed in front of a convex lens, the lens will always form a real image on the opposite side. This is because the lens will converge the diverging rays from the virtual object to a point, creating a real image.

4. **Conclusion**:
- The statement "The image formed by a convex lens is always real if the object is virtual" is correct.
- The other statements regarding the image being always virtual or always real regardless of the object type are incorrect.

### Final Answer:
The correct answer is: **Always real if the object is virtual.**

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