If `mu_(1),mu_(2)` are refractive indices of a body and its surrounding medium respectively, then the body would disappear if

Options

A. `mu_(1)gtmu_(2)`
B. `mu_(1)ltmu_(2)`
C. `mu_(1)=mu_(2)`
D. `mu_(1)gemu_(2)`

Answer

To determine when a body would disappear in a surrounding medium based on their refractive indices, we can analyze the conditions under which light behaves when passing from one medium to another.

### Step-by-Step Solution:

1. **Understanding Refractive Indices**:
- Let `μ1` be the refractive index of the body and `μ2` be the refractive index of the surrounding medium.
- The refractive index is a measure of how much light slows down in a medium compared to its speed in a vacuum.

2. **Condition for Disappearance**:
- A body will disappear when light passes through it without bending or reflecting. This occurs when the refractive indices of the body and the surrounding medium are equal, i.e., `μ1 = μ2`.

3. **Behavior of Light**:
- When `μ1 = μ2`, light rays entering the body do not change speed or direction. They travel straight through the body and exit without any deviation.
- Since there is no bending or reflection of light at the interface, the body becomes invisible to an observer.

4. **Other Conditions**:
- If `μ1 > μ2`: The body is denser than the surrounding medium. Light rays will bend towards the normal upon entering the body, making it visible.
- If `μ1 < μ2`: The body is less dense than the surrounding medium. Light rays will bend away from the normal, also making it visible.

5. **Conclusion**:
- Therefore, the body will disappear only when `μ1` is equal to `μ2`.

### Final Answer:
The body would disappear if `μ1 = μ2`.

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