The wavelength of light of frequency 100 Hz

Options

A. `2xx10^(6)m`
B. `3xx10^(6)m`
C. `4xx10^(6)m`
D. `5xx10^(6)m`

Answer

To find the wavelength of light given its frequency, we can use the formula that relates speed (C), frequency (F), and wavelength (λ):

### Step-by-Step Solution:

1. **Identify the formula**: The relationship between speed (C), frequency (F), and wavelength (λ) is given by the equation:
\[ C = F \cdot \lambda \]

2. **Rearrange the formula to find wavelength**: To find the wavelength (λ), we can rearrange the formula:
\[ \lambda = \frac{C}{F} \]

3. **Substitute the known values**:
- The speed of light (C) is approximately \(3 \times 10^8\) meters per second.
- The frequency (F) is given as 100 Hz.

Plugging these values into the equation gives:
\[ \lambda = \frac{3 \times 10^8 \, \text{m/s}}{100 \, \text{Hz}} \]

4. **Calculate the wavelength**:
\[ \lambda = \frac{3 \times 10^8}{100} = 3 \times 10^6 \, \text{meters} \]

5. **Conclusion**: The wavelength of light with a frequency of 100 Hz is:
\[ \lambda = 3 \times 10^6 \, \text{meters} \]

### Final Answer:
The wavelength of light of frequency 100 Hz is \(3 \times 10^6\) meters.

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