Give the ratio of velocities of light rays of frequencies `5 xx 10^(12) Hz` and `25 xx 10^(12)Hz`

Answer

To solve the problem of finding the ratio of velocities of light rays of frequencies \(5 \times 10^{12} \, \text{Hz}\) and \(25 \times 10^{12} \, \text{Hz}\), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Frequencies**:
- Let \( \nu_1 = 5 \times 10^{12} \, \text{Hz} \)
- Let \( \nu_2 = 25 \times 10^{12} \, \text{Hz} \)

2. **Understand the Speed of Light**:
- The speed of light in vacuum, denoted as \( C \), is approximately \( 3 \times 10^8 \, \text{m/s} \).
- It is important to note that the speed of light is constant and does not depend on the frequency or wavelength of the light.

3. **Determine the Velocities**:
- Since the speed of light is constant, we can denote the velocities of the light rays corresponding to the two frequencies:
- \( v_1 = C \) for frequency \( \nu_1 \)
- \( v_2 = C \) for frequency \( \nu_2 \)

4. **Calculate the Ratio of Velocities**:
- The ratio of the velocities \( \frac{v_1}{v_2} \) can be calculated as follows:
\[ \frac{v_1}{v_2} = \frac{C}{C} = 1 \]

5. **Final Result**:
- Therefore, the ratio of the velocities of light rays of the given frequencies is:
\[ \text{Ratio} = 1 : 1 \]