If velocity of radio waves is `3 xx 10^8` m/s, the frequency corresponding to wavelength of 300 m is

Options

A. 1 KHz
B. 10 KHz
C. 1 MHz
D. 10 MHz

Explanation

To find the frequency corresponding to a wavelength of 300 m for radio waves traveling at a velocity of \(3 \times 10^8\) m/s, we can use the formula that relates velocity (v), frequency (f), and wavelength (λ):

\[ v = f \cdot \lambda \]

### Step-by-Step Solution:

1. **Identify the given values**:
- Velocity of radio waves, \(v = 3 \times 10^8\) m/s
- Wavelength, \(\lambda = 300\) m

2. **Rearrange the formula to solve for frequency (f)**:
\[ f = \frac{v}{\lambda} \]

3. **Substitute the known values into the equation**:
\[ f = \frac{3 \times 10^8 \text{ m/s}}{300 \text{ m}} \]

4. **Perform the division**:
- First, simplify \(300\) in terms of powers of ten:
\[ 300 = 3 \times 10^2 \]
- Now substitute this back into the equation:
\[ f = \frac{3 \times 10^8}{3 \times 10^2} \]

5. **Cancel out the common terms**:
\[ f = \frac{3}{3} \times \frac{10^8}{10^2} = 1 \times 10^{8-2} = 1 \times 10^6 \text{ Hz} \]

6. **Convert Hz to Mega Hertz**:
- Since \(1 \text{ MHz} = 10^6 \text{ Hz}\):
\[ f = 1 \text{ MHz} \]

### Final Answer:
The frequency corresponding to a wavelength of 300 m is \(1 \text{ MHz}\).

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