Green light of wavelength 5460Å is incident on an air glass interface. If the refractive index of glass is 1.5, the wavelength of light in glass would be `(C=3 xx 10^(8) ms^(-1))`n

Options

A. `3640Å`
B. `5460Å`
C. `4861Å`
D. `6240Å`

Explanation

To find the wavelength of green light in glass, we can use the relationship between the wavelength in air and the wavelength in a medium with a refractive index. Here are the steps to solve the problem:

### Step-by-Step Solution:

1. **Identify Given Values:**
- Wavelength of green light in air, \( \lambda_a = 5460 \, \text{Å} \) (angstroms).
- Refractive index of glass, \( n = 1.5 \).

2. **Understand the Relationship:**
The relationship between the wavelength in air (\( \lambda_a \)) and the wavelength in glass (\( \lambda_g \)) is given by the formula:
\[ \lambda_g = \frac{\lambda_a}{n} \]
where \( n \) is the refractive index of the medium (glass in this case).

3. **Substitute the Values:**
Substitute the known values into the formula:
\[ \lambda_g = \frac{5460 \, \text{Å}}{1.5} \]

4. **Calculate the Wavelength in Glass:**
Perform the division:
\[ \lambda_g = \frac{5460}{1.5} = 3640 \, \text{Å} \]

5. **Final Answer:**
The wavelength of light in glass is \( \lambda_g = 3640 \, \text{Å} \).

### Summary:
The wavelength of green light in glass is \( 3640 \, \text{Å} \).

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