A `100m` long antenna is mounted on a `500m` tall building. The complex can become a transmission tower of waves with `lambda`

Options

A. `-400m`
B. `-25m`
C. `-150m`
D. `-2400m`

Explanation

To solve the question, we need to determine the wavelength (λ) that corresponds to the given length of the antenna. The relationship between the length of the antenna (L) and the wavelength (λ) is given by the formula:

\[ L = \frac{\lambda}{4} \]

### Step-by-Step Solution:

1. **Identify the Length of the Antenna**:
- The length of the antenna (L) is given as 100 m.

2. **Use the Relationship Between Length and Wavelength**:
- According to the formula, we have:
\[ L = \frac{\lambda}{4} \]

3. **Rearranging the Formula to Find Wavelength**:
- To find the wavelength (λ), we can rearrange the formula:
\[ \lambda = 4L \]

4. **Substituting the Length of the Antenna**:
- Now, substitute the value of L into the equation:
\[ \lambda = 4 \times 100 \, \text{m} \]

5. **Calculating the Wavelength**:
- Perform the multiplication:
\[ \lambda = 400 \, \text{m} \]

6. **Conclusion**:
- Therefore, the wavelength (λ) that the antenna can transmit is 400 m.

### Final Answer:
The complex can become a transmission tower of waves with a wavelength (λ) of **400 m**.

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