Wavelength of light in vaccum is 5890 Å, then its wavelength in glass (`mu=1.5`) will be

Options

A. 9372 Å
B. 7932 Å
C. 7548 Å
D. 3927 Å

Explanation

To find the wavelength of light in glass when the wavelength in vacuum is given, we can use the relationship between the wavelength in vacuum (λ₀) and the wavelength in a medium (λ) defined by the refractive index (μ) of that medium.

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Wavelength in vacuum (λ₀) = 5890 Å (angstroms)
- Refractive index of glass (μ) = 1.5

2. **Use the Formula for Wavelength in a Medium:**
The relationship between the wavelength in vacuum and the wavelength in a medium is given by:
\[ \lambda = \frac{\lambda_0}{\mu} \]
where:
- λ = wavelength in the medium (glass in this case)
- λ₀ = wavelength in vacuum
- μ = refractive index of the medium

3. **Substitute the Values into the Formula:**
\[ \lambda = \frac{5890 \, \text{Å}}{1.5} \]

4. **Calculate the Wavelength in Glass:**
\[ \lambda = \frac{5890}{1.5} = 3926.67 \, \text{Å} \]

5. **Round the Result:**
Since we typically round to the nearest whole number in physics, we can round this to:
\[ \lambda \approx 3927 \, \text{Å} \]

### Final Answer:
The wavelength of light in glass is approximately **3927 Å**.