The refractive index of glass with respect to air is `3/2` and the refraction index of water with respect to air is `4/3`. The refractive index of glass with respect to water will be:

Options

A. `8//9`
B. `9//8`
C. `7//6`
D. None of these

Explanation

To find the refractive index of glass with respect to water, we can use the relationship between the refractive indices of the different media with respect to a common medium (in this case, air).

### Step-by-Step Solution:

1. **Identify Given Values**:
- The refractive index of glass with respect to air, \( n_{ga} = \frac{3}{2} \).
- The refractive index of water with respect to air, \( n_{wa} = \frac{4}{3} \).

2. **Use the Formula for Relative Refractive Index**:
The refractive index of glass with respect to water, \( n_{gw} \), can be calculated using the formula:
\[ n_{gw} = \frac{n_{ga}}{n_{wa}} \]

3. **Substitute the Values**:
Substitute the values of \( n_{ga} \) and \( n_{wa} \) into the formula:
\[ n_{gw} = \frac{\frac{3}{2}}{\frac{4}{3}} \]

4. **Simplify the Expression**:
To simplify the division of fractions, multiply by the reciprocal:
\[ n_{gw} = \frac{3}{2} \times \frac{3}{4} = \frac{3 \times 3}{2 \times 4} = \frac{9}{8} \]

5. **Final Result**:
Therefore, the refractive index of glass with respect to water is:
\[ n_{gw} = \frac{9}{8} \]

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

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