The wavelength of light from a given sources is 6000 Å . The wavelength of this light when it travels through a medium of refractive index 1.5 is

Options

A. 3000 Å
B. 4000 Å
C. 5000 Å
D. 6500 Å

Explanation

To find the wavelength of light when it travels through a medium of refractive index 1.5, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Wavelength of light in vacuum (λ₀) = 6000 Å (angstroms)
- Refractive index of the medium (μ) = 1.5

2. **Understand the Relationship Between Wavelength and Refractive Index:**
- The relationship between the wavelength in vacuum (λ₀) and the wavelength in a medium (λ) is given by the formula:
\[ \mu = \frac{\lambda_0}{\lambda} \]
- Where:
- λ₀ = Wavelength in vacuum
- λ = Wavelength in the medium
- μ = Refractive index of the medium

3. **Rearranging the Formula:**
- To find the wavelength in the medium (λ), we can rearrange the formula:
\[ \lambda = \frac{\lambda_0}{\mu} \]

4. **Substituting the Values:**
- Now, substitute the known values into the equation:
\[ \lambda = \frac{6000 \, \text{Å}}{1.5} \]

5. **Calculating the Wavelength:**
- Perform the division:
\[ \lambda = 4000 \, \text{Å} \]

6. **Final Answer:**
- The wavelength of light when it travels through the medium of refractive index 1.5 is **4000 Å**.