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

Answer

To find 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. **Understand the Speed of Light**:
The speed of light in vacuum is a constant value, denoted as \(c\), which is approximately \(3 \times 10^8 \, \text{m/s}\). This speed does not depend on the frequency or wavelength of the light.

2. **Identify the Frequencies**:
We have two frequencies:
- \(f_1 = 5 \times 10^{12} \, \text{Hz}\)
- \(f_2 = 25 \times 10^{12} \, \text{Hz}\)

3. **Determine the Velocities**:
Since the speed of light is constant, we can denote the velocities of the two light rays as:
- \(V_1 = c\) for the first frequency
- \(V_2 = c\) for the second frequency

4. **Calculate the Ratio of Velocities**:
The ratio of the velocities \(V_1\) and \(V_2\) can be calculated as follows:
\[ \text{Ratio} = \frac{V_1}{V_2} = \frac{c}{c} = 1 \]

5. **Express the Ratio**:
Therefore, the ratio of the velocities of the two light rays is:
\[ \text{Ratio} = 1 : 1 \]

### Final Answer:
The ratio of velocities of light rays of frequencies \(5 \times 10^{12} \, \text{Hz}\) and \(25 \times 10^{12} \, \text{Hz}\) is \(1 : 1\).