AIR service on Vividh Bharati is transmitted on `219m` band. What is its transmission frequency in Hertz ?

Options

A. `1.37xx10^(6)Hz`
B. `1.37xx10^(5)Hz`
C. `1.37xx10^(7)Hz`
D. `2.74xx10^(5)Hz`

Explanation

To find the transmission frequency of the AIR service on the Vividh Bharati, we can use the relationship between frequency (ν), wavelength (λ), and the speed of light (C). The formula we will use is:

\[ C = \nu \times \lambda \]

Where:
- \( C \) is the speed of light, approximately \( 3 \times 10^8 \) meters per second.
- \( \nu \) is the frequency in Hertz (Hz).
- \( \lambda \) is the wavelength in meters.

### Step-by-Step Solution:

1. **Identify the Wavelength**:
The wavelength (λ) is given as 219 meters.

2. **Use the Speed of Light**:
The speed of light (C) is approximately \( 3 \times 10^8 \) m/s.

3. **Rearrange the Formula**:
We need to find the frequency (ν). Rearranging the formula gives us:
\[ \nu = \frac{C}{\lambda} \]

4. **Substitute the Values**:
Now, substitute the values of C and λ into the formula:
\[ \nu = \frac{3 \times 10^8 \text{ m/s}}{219 \text{ m}} \]

5. **Perform the Calculation**:
\[ \nu = \frac{3 \times 10^8}{219} \]
\[ \nu \approx 1.37 \times 10^6 \text{ Hz} \]

6. **Final Answer**:
Therefore, the transmission frequency is approximately:
\[ \nu \approx 1.37 \times 10^6 \text{ Hz} \]

### Summary:
The transmission frequency of the AIR service on Vividh Bharati, which is transmitted on the 219 m band, is approximately \( 1.37 \times 10^6 \) Hertz.