The refractive index of water is `4//3.` The speed of light in water is

Options

A. `1.50xx10^8 m//s`
B. `1.78xx10^8 m//s`
C. `2.25xx10^8 m//s`
D. `2.67xx10^8 m//s`

Explanation

To find the speed of light in water given the refractive index, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the given values**:
- Refractive index of water (μ) = 4/3
- Speed of light in vacuum (C) = 3 × 10^8 m/s

2. **Use the formula for speed of light in a medium**:
The speed of light in a medium (V) can be calculated using the formula:
\[ V = \frac{C}{\mu} \]

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

4. **Simplify the equation**:
To divide by a fraction, we multiply by its reciprocal:
\[ V = 3 \times 10^8 \, \text{m/s} \times \frac{3}{4} \]

5. **Calculate the speed of light in water**:
\[ V = \frac{9 \times 10^8}{4} \, \text{m/s} \]
\[ V = 2.25 \times 10^8 \, \text{m/s} \]

6. **Conclusion**:
The speed of light in water is \(2.25 \times 10^8\) m/s.

### Final Answer:
The speed of light in water is \(2.25 \times 10^8\) m/s.

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