The velocity of electromagnetic waves in free space is `3xx10^(8)` m/s. Whal is the frequency (in MHz) of the wavelength of vaJue 150 m?

Answer

To find the frequency of an electromagnetic wave given its wavelength, we can use the formula:

\[ c = \nu \lambda \]

Where:
- \( c \) is the speed of light in a vacuum (approximately \( 3 \times 10^8 \) m/s),
- \( \nu \) is the frequency in hertz (Hz),
- \( \lambda \) is the wavelength in meters (m).

### Step-by-Step Solution:

1. **Identify the given values**:
- Speed of electromagnetic waves, \( c = 3 \times 10^8 \) m/s
- Wavelength, \( \lambda = 150 \) m

2. **Rearrange the formula to solve for frequency**:
\[ \nu = \frac{c}{\lambda} \]

3. **Substitute the known values into the formula**:
\[ \nu = \frac{3 \times 10^8 \text{ m/s}}{150 \text{ m}} \]

4. **Calculate the frequency**:
\[ \nu = \frac{3 \times 10^8}{150} = 2 \times 10^6 \text{ Hz} \]

5. **Convert the frequency from hertz to megahertz**:
- Since \( 1 \text{ MHz} = 10^6 \text{ Hz} \),
\[ \nu = \frac{2 \times 10^6 \text{ Hz}}{10^6} = 2 \text{ MHz} \]

### Final Answer:
The frequency of the electromagnetic wave is **2 MHz**.

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