Light has a wavelength 600 nm in free space. it passes into the glass , which has an index of refraction of 1.50 what is the frequency of the light inside the glass?

Options

A. `3.3xx10^(14)Hz`
B. `5.0xx10^(14)Hz`
C. `3.3xx10^(5)Hz`
D. `5.0xx10^(5)Hz`

Answer

To find the frequency of light inside the glass, we can follow these steps:

### Step 1: Understand the relationship between speed, frequency, and wavelength
The basic formula relating the speed of light (C), frequency (f), and wavelength (λ) is given by:
\[ C = f \cdot \lambda \]
Where:
- \( C \) is the speed of light in vacuum (approximately \( 3 \times 10^8 \) m/s),
- \( f \) is the frequency in Hz,
- \( \lambda \) is the wavelength in meters.

### Step 2: Convert the wavelength from nanometers to meters
The given wavelength is 600 nm. To convert nanometers to meters, we use the conversion factor:
\[ 1 \text{ nm} = 10^{-9} \text{ m} \]
Thus,
\[ 600 \text{ nm} = 600 \times 10^{-9} \text{ m} = 6 \times 10^{-7} \text{ m} \]

### Step 3: Calculate the frequency in free space
Using the formula \( f = \frac{C}{\lambda} \):
\[ f = \frac{3 \times 10^8 \text{ m/s}}{6 \times 10^{-7} \text{ m}} \]
Calculating this gives:
\[ f = \frac{3 \times 10^8}{6 \times 10^{-7}} = 0.5 \times 10^{15} \text{ Hz} = 5 \times 10^{14} \text{ Hz} \]

### Step 4: Determine the frequency in glass
The frequency of light does not change when it enters a medium with a different refractive index. Therefore, the frequency of light inside the glass remains the same as it was in free space:
\[ f_{\text{glass}} = 5 \times 10^{14} \text{ Hz} \]

### Final Answer
The frequency of the light inside the glass is:
\[ \boxed{5 \times 10^{14} \text{ Hz}} \]