The ratio of velocities of light waves of wavelengths 2000 A and 3000 A in vacuum is

Options

A. `1:1`
B. `2:3`
C. `3//2`
D. none of these

Explanation

To solve the problem of finding the ratio of the velocities of light waves of wavelengths 2000 Å and 3000 Å in vacuum, we can follow these steps:

### Step-by-step Solution:

1. **Understand the Concept**: The speed of light in a vacuum is a constant value, denoted as \( c \), which is approximately \( 3 \times 10^8 \) m/s. This speed does not depend on the wavelength of the light.

2. **Identify the Wavelengths**: We have two wavelengths given:
- \( \lambda_1 = 2000 \, \text{Å} \)
- \( \lambda_2 = 3000 \, \text{Å} \)

3. **Determine the Velocities**: The velocities of light for both wavelengths in a vacuum can be represented as:
- \( v_1 = c \) for the wavelength \( \lambda_1 \)
- \( v_2 = c \) for the wavelength \( \lambda_2 \)

4. **Calculate the Ratio of Velocities**: The ratio of the velocities of light waves can be calculated as follows:
\[ \frac{v_1}{v_2} = \frac{c}{c} = 1 \]

5. **Conclusion**: The ratio of the velocities of light waves of wavelengths 2000 Å and 3000 Å in vacuum is \( 1:1 \).

### Final Answer:
The ratio of velocities of light waves of wavelengths 2000 Å and 3000 Å in vacuum is \( 1:1 \).

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