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 find the wavelength (λ) for the given antenna setup, we can follow these steps:

### Step-by-Step Solution:

1. **Identify Given Values**:
- Length of the antenna (L) = 100 m
- Height of the building is not directly relevant for calculating the wavelength in this context.

2. **Understand the Relationship**:
- For a half-wave dipole antenna, the length of the antenna is approximately equal to half the wavelength (λ/2).
- For a quarter-wave antenna, the length of the antenna is approximately equal to one-fourth of the wavelength (λ/4).

3. **Use the Formula**:
- Since the problem implies that the antenna can be treated as a quarter-wave antenna, we can use the formula:
\[ L = \frac{\lambda}{4} \]
- Rearranging this gives:
\[ \lambda = 4L \]

4. **Substitute the Values**:
- Substitute the length of the antenna into the formula:
\[ \lambda = 4 \times 100 \, \text{m} \]
\[ \lambda = 400 \, \text{m} \]

5. **Conclusion**:
- The wavelength (λ) for the given antenna setup is 400 meters.

### Final Answer:
The wavelength (λ) is **400 meters**.

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