A ray of light of wavelength 5400 Å suffers refractive from air to glass. Taking `""_(a)mu_(g)=3//2`, find the wavelength of light in glass.

Answer

To find the wavelength of light in glass when a ray of light of wavelength 5400 Å suffers refraction from air to glass, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the relationship between refractive index and wavelength**:
The refractive index (μ) of a medium is related to the wavelengths of light in air (λ_air) and in the medium (λ_glass) by the formula:
\[ \mu_{g} = \frac{\lambda_{\text{air}}}{\lambda_{\text{glass}}} \]

2. **Identify the given values**:
- Wavelength of light in air, \( \lambda_{\text{air}} = 5400 \, \text{Å} \)
- Refractive index of glass with respect to air, \( \mu_{g} = \frac{3}{2} \)

3. **Rearrange the formula to find the wavelength in glass**:
From the formula above, we can rearrange it to find the wavelength in glass:
\[ \lambda_{\text{glass}} = \frac{\lambda_{\text{air}}}{\mu_{g}} \]

4. **Substitute the known values into the equation**:
Now substituting the known values into the rearranged formula:
\[ \lambda_{\text{glass}} = \frac{5400 \, \text{Å}}{\frac{3}{2}} \]

5. **Simplify the expression**:
Dividing by a fraction is the same as multiplying by its reciprocal:
\[ \lambda_{\text{glass}} = 5400 \, \text{Å} \times \frac{2}{3} \]

6. **Calculate the wavelength in glass**:
Now perform the multiplication:
\[ \lambda_{\text{glass}} = \frac{5400 \times 2}{3} = \frac{10800}{3} = 3600 \, \text{Å} \]

7. **Final result**:
Therefore, the wavelength of light in glass is:
\[ \lambda_{\text{glass}} = 3600 \, \text{Å} \]

### Final Answer:
The wavelength of light in glass is 3600 Å.