What is the refractive index in a medium where the speed of light is `1.5xx10^8` m/s ?

Answer

To find the refractive index of a medium where the speed of light is given, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Speed of Light in Air**:
The speed of light in air (or vacuum) is approximately \( c = 3 \times 10^8 \) m/s.

2. **Identify the Speed of Light in the Medium**:
The speed of light in the given medium is provided as \( v = 1.5 \times 10^8 \) m/s.

3. **Use the Formula for Refractive Index**:
The refractive index \( n \) of a medium is calculated using the formula:
\[ n = \frac{c}{v} \]
where \( c \) is the speed of light in air and \( v \) is the speed of light in the medium.

4. **Substitute the Values**:
Substitute the known values into the formula:
\[ n = \frac{3 \times 10^8 \text{ m/s}}{1.5 \times 10^8 \text{ m/s}} \]

5. **Perform the Calculation**:
Simplifying the fraction:
\[ n = \frac{3}{1.5} = 2 \]

6. **Conclusion**:
The refractive index of the medium is \( n = 2 \).

### Final Answer:
The refractive index of the medium is **2**.

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