Electromagnetic radiation of frequency ` 3 xx 10^(5)` MHz can be produced by which of the following wave

Options

A. Radiowave
B. X-rays
C. Ultraviolet
D. Microwave

Answer

To determine which type of electromagnetic wave can be produced by electromagnetic radiation of frequency \(3 \times 10^5\) MHz, we can follow these steps:

### Step-by-Step Solution:

1. **Convert Frequency to Hertz**:
The given frequency is \(3 \times 10^5\) MHz. We need to convert this into Hertz (Hz).
\[ 1 \text{ MHz} = 10^6 \text{ Hz} \]
Therefore,
\[ 3 \times 10^5 \text{ MHz} = 3 \times 10^5 \times 10^6 \text{ Hz} = 3 \times 10^{11} \text{ Hz} \]

2. **Use the Speed of Light Equation**:
The relationship between the speed of light (\(c\)), frequency (\(\nu\)), and wavelength (\(\lambda\)) is given by:
\[ c = \nu \lambda \]
Where:
- \(c\) is the speed of light, approximately \(3 \times 10^8 \text{ m/s}\)
- \(\nu\) is the frequency in Hz
- \(\lambda\) is the wavelength in meters

3. **Rearranging the Equation**:
We can rearrange the equation to find the wavelength:
\[ \lambda = \frac{c}{\nu} \]

4. **Substituting Values**:
Now, substitute the values of \(c\) and \(\nu\):
\[ \lambda = \frac{3 \times 10^8 \text{ m/s}}{3 \times 10^{11} \text{ Hz}} \]

5. **Calculating Wavelength**:
Simplifying the equation:
\[ \lambda = \frac{3}{3} \times \frac{10^8}{10^{11}} = 1 \times 10^{-3} \text{ m} = 10^{-3} \text{ m} \]

6. **Identifying the Type of Wave**:
The wavelength \(10^{-3} \text{ m}\) (or 1 mm) corresponds to the microwave region of the electromagnetic spectrum. Therefore, the electromagnetic radiation of frequency \(3 \times 10^5\) MHz can be produced by microwaves.

### Conclusion:
The correct answer is that electromagnetic radiation of frequency \(3 \times 10^5\) MHz can be produced by **microwaves**.