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

Options

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

Explanation

To solve the problem of finding the wavelength (λ) for a 100m long antenna mounted on a 500m tall building, we can follow these steps:

### Step 1: Understand the relationship between antenna length and wavelength
The length of the antenna (L) is related to the wavelength (λ) of the waves it can transmit. A common relationship used in communication systems is:
\[ L = \frac{\lambda}{4} \]
This means that the length of the antenna is one-fourth of the wavelength.

### Step 2: Rearrange the formula to find wavelength
To find the wavelength (λ), we can rearrange the formula:
\[ \lambda = 4L \]

### Step 3: Substitute the given length of the antenna
We know the length of the antenna is 100 meters. We can substitute this value into the equation:
\[ \lambda = 4 \times 100 \]

### Step 4: Calculate the wavelength
Now we perform the multiplication:
\[ \lambda = 400 \text{ meters} \]

### Conclusion
The wavelength (λ) that corresponds to a 100m long antenna is:
\[ \lambda = 400 \text{ meters} \]

### Final Answer
The correct answer is 400 meters.

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