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

Options

A. 900 m
B. 270 m
C. 2.70 km
D. 333 m

Explanation

To find the wavelength of electromagnetic radiation broadcast by a radio station with a frequency of 900 KHz, we can follow these steps:

### Step-by-Step Solution:

1. **Convert Frequency to Hertz**:
The frequency given is 900 KHz. We need to convert this into Hertz (Hz).
\[ \text{Frequency} (\mu) = 900 \, \text{KHz} = 900 \times 10^3 \, \text{Hz} = 900,000 \, \text{Hz} \]

2. **Use the Wave Equation**:
The relationship between wavelength (\(\lambda\)), frequency (\(\mu\)), and the speed of light (C) is given by the formula:
\[ \mu = \frac{C}{\lambda} \]
Rearranging this formula to solve for wavelength (\(\lambda\)):
\[ \lambda = \frac{C}{\mu} \]

3. **Substitute the Values**:
The speed of light (C) is approximately \(3 \times 10^8 \, \text{m/s}\). Now, substituting the values into the equation:
\[ \lambda = \frac{3 \times 10^8 \, \text{m/s}}{900 \times 10^3 \, \text{Hz}} \]

4. **Calculate the Wavelength**:
Performing the division:
\[ \lambda = \frac{3 \times 10^8}{900 \times 10^3} = \frac{3 \times 10^8}{9 \times 10^5} = \frac{3}{9} \times 10^{8-5} = \frac{1}{3} \times 10^3 \]
\[ \lambda = \frac{1000}{3} \approx 333.33 \, \text{meters} \]

5. **Final Answer**:
We can round this to approximately:
\[ \lambda \approx 333 \, \text{meters} \]

### Final Result:
The wavelength of the electromagnetic radiation broadcast by the radio station is approximately **333 meters**.

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