In a convex lens, we get virtual image when the object is _____

Options

A. between F and 2F
B. beyond 2F
C. between F and optic center
D. None of these

Answer

To determine when a convex lens creates a virtual image, we need to analyze the position of the object in relation to the lens's focal point (F) and optical center (O). Here’s a step-by-step solution:

### Step 1: Understand the Lens System
A convex lens converges light rays that pass through it. The lens has two important points: the focal point (F) and the optical center (O).

### Step 2: Identify Object Position for Virtual Image
A virtual image is formed when the object is located between the focal point (F) and the optical center (O) of the lens.

### Step 3: Analyze Ray Diagram
1. **Ray 1**: A ray parallel to the principal axis passes through the focal point on the opposite side after refraction.
2. **Ray 2**: A ray that passes through the optical center continues in a straight line without bending.

### Step 4: Determine Image Characteristics
When the object is placed between F and O:
- The rays diverge after passing through the lens.
- If we extend these diverging rays backward, they appear to converge at a point, forming a virtual image.

### Step 5: Conclusion
Thus, a convex lens creates a virtual image only when the object is located between the focal point (F) and the optical center (O).

### Final Answer
In a convex lens, we get a virtual image when the object is **between the focal point and the optical center**.

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