If a convex lens is dipped in a liquid whose refractive index is equal to the refractive index of the lens, then lens acts like a

Options

A. concave lens
B. plane parallel glass plate
C. piano convex lens
D. piano concave lens

Answer

To solve the problem of determining how a convex lens behaves when dipped in a liquid with the same refractive index, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Concept of Refractive Index**:
- The refractive index (μ) of a medium determines how light bends when it passes from one medium to another. If two media have the same refractive index, light will not bend as it passes from one to the other.

2. **Analyzing the Situation**:
- We have a convex lens with a certain refractive index (μ_lens) and it is submerged in a liquid with the same refractive index (μ_liquid = μ_lens).

3. **Effect on Light Rays**:
- When light rays enter the lens from air (or any other medium) and then travel into the liquid, since the refractive index of the lens and the liquid are the same, there will be no bending of light rays at the interface between the lens and the liquid.

4. **Behavior of the Lens**:
- Since the lens is effectively surrounded by a medium of the same refractive index, it will not converge or diverge light rays as it normally would in air. Instead, it will behave as if it is not present at all.

5. **Conclusion**:
- Therefore, when a convex lens is dipped in a liquid with the same refractive index, it acts like a **plane glass plate**. This is because the lens's optical properties are neutralized by the surrounding medium.

### Final Answer:
The convex lens acts like a **plane glass plate** when dipped in a liquid whose refractive index is equal to that of the lens.

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