A certain radiostation broadcasts at a frequency of 900 KHz. The wavelenght of electromeegnetic radiations broadcast by radiostation is :-

Options

A. 900 m
B. 270 m
C. 2.70 km
D. 330 m

Explanation

To find the wavelength of the electromagnetic radiation broadcast by a radio station with a frequency of 900 kHz, we can use the formula that relates the speed of light (c), frequency (ν), and wavelength (λ):

\[ c = ν \cdot λ \]

Where:
- \( c \) is the speed of light, approximately \( 3 \times 10^8 \) meters per second.
- \( ν \) is the frequency in hertz (Hz).
- \( λ \) is the wavelength in meters.

### Step-by-Step Solution:

1. **Convert the frequency from kilohertz to hertz**:
\[ ν = 900 \text{ kHz} = 900 \times 10^3 \text{ Hz} = 9 \times 10^5 \text{ Hz} \]

2. **Use the speed of light in the formula**:
\[ c = 3 \times 10^8 \text{ m/s} \]

3. **Rearrange the formula to solve for wavelength (λ)**:
\[ λ = \frac{c}{ν} \]

4. **Substitute the values into the equation**:
\[ λ = \frac{3 \times 10^8 \text{ m/s}}{9 \times 10^5 \text{ Hz}} \]

5. **Calculate the wavelength**:
\[ λ = \frac{3 \times 10^8}{9 \times 10^5} = \frac{3}{9} \times 10^{8 - 5} = \frac{1}{3} \times 10^3 \text{ m} \]
\[ λ = \frac{1000}{3} \text{ m} \approx 333.33 \text{ m} \]

### Final Answer:
The wavelength of the electromagnetic radiation broadcast by the radio station is approximately **333.33 meters**.