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

Options

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

Answer

To solve the problem, we need to determine the wavelength (λ) of the wave that can be transmitted through a 100 m long 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 can express the wavelength in terms of the length of the antenna:
\[ L = \frac{\lambda}{4} \]

3. **Rearranging the Formula**:
- 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 (100 m) into the equation:
\[ \lambda = 4 \times 100 \]

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

6. **Conclusion**:
- Therefore, the wavelength that can be transmitted through the antenna is 400 m.

### Final Answer:
The wavelength (λ) that can be transmitted from this complex tower is **400 meters**.

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