The reflective index of water with respect to air is `4//3` and the reflective index of glass with respect to air is `3//2`. Then the refractive index of water with respect to glass is

Options

A. `9//8`
B. `8//9`
C. `1//2`
D. `2`

Explanation

To find the refractive index of water with respect to glass, we can use the relationship between the refractive indices of water, glass, and air.

### Step-by-step Solution:

1. **Understand the given refractive indices**:
- The refractive index of water with respect to air (μ_water/air) is given as \( \frac{4}{3} \).
- The refractive index of glass with respect to air (μ_glass/air) is given as \( \frac{3}{2} \).

2. **Use the formula for refractive index**:
- The refractive index of water with respect to glass (μ_water/glass) can be expressed using the formula:
\[ \mu_{\text{water/glass}} = \frac{\mu_{\text{water/air}}}{\mu_{\text{glass/air}}} \]

3. **Substitute the known values**:
- Substitute the values of μ_water/air and μ_glass/air into the formula:
\[ \mu_{\text{water/glass}} = \frac{\frac{4}{3}}{\frac{3}{2}} \]

4. **Simplify the expression**:
- To divide the fractions, multiply by the reciprocal:
\[ \mu_{\text{water/glass}} = \frac{4}{3} \times \frac{2}{3} = \frac{4 \times 2}{3 \times 3} = \frac{8}{9} \]

5. **Conclusion**:
- Therefore, the refractive index of water with respect to glass is \( \frac{8}{9} \).

### Final Answer:
The refractive index of water with respect to glass is \( \frac{8}{9} \).

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