A hollow convex lens of glass will behave like a

Options

A. convex lens
B. concave lens
C. glass plate
D. mirror

Answer

To determine how a hollow convex lens of glass behaves, we need to analyze its characteristics and compare them with the given options: convex lens, concave lens, glass plate, and mirror.

### Step-by-Step Solution:

1. **Understanding the Structure**:
- A hollow convex lens is essentially a lens that has a convex shape but is hollow in the middle. This means that the lens material (glass) forms the outer surfaces while the center is empty.

2. **Analyzing the Lens**:
- When we consider the lens, we can visualize it as being made up of two curved surfaces. For a convex lens, these surfaces converge light rays.

3. **Breaking Down the Lens**:
- If we break the hollow convex lens into smaller parts, we can analyze the curvature of these parts. The radius of curvature for the outer surfaces can be denoted as r1 and r2.

4. **Applying the Lens Formula**:
- The lens maker's formula is given by:
\[ \frac{1}{f} = (μ - 1) \left( \frac{1}{r_1} - \frac{1}{r_2} \right) \]
- Here, \(μ\) is the refractive index of the glass, and \(f\) is the focal length. For a hollow lens, the effective radii of curvature can be considered equal, which leads to:
\[ \frac{1}{f} = 0 \]
- This implies that the focal length \(f\) tends to infinity.

5. **Comparing with Other Options**:
- For a typical convex lens, the focal length is finite, and for a concave lens, it is negative. A mirror also has a finite focal length. However, a glass plate does not converge or diverge light; it merely transmits it without altering its path significantly.

6. **Conclusion**:
- Since the hollow convex lens behaves such that its focal length tends to infinity, it behaves like a glass plate, which also has an infinite focal length. Therefore, the correct answer is that a hollow convex lens of glass will behave like a **glass plate**.

### Final Answer:
A hollow convex lens of glass will behave like a **glass plate**.