Question

Calculate the wavelength of a wave if the frequency is 94.5 MHz and the speed is 3.10 to the power 8 m/s

Answer 1

To calculate the wavelength of a wave, you can use the wave equation:

\[
\text{Wavelength} (\lambda) = \frac{\text{Speed} (v)}{\text{Frequency} (f)}
\]

Where:
- \( \text{Speed} (v) = 3.0 \times 10^8 \) m/s (the speed of light)
- \( \text{Frequency} (f) = 94.5 \) MHz = \( 94.5 \times 10^6 \) Hz

Now, substitute the values into the equation:

\[
\lambda = \frac{3.0 \times 10^8 \, \text{m/s}}{94.5 \times 10^6 \, \text{Hz}}
\]

Calculating it step-by-step:

1. Divide the speed by the frequency:

\[
\lambda = \frac{3.0 \times 10^8}{94.5 \times 10^6}
\]

2. Simplifying the division:

\[
\lambda \approx \frac{3.0}{94.5} \times 10^{8-6} = \frac{3.0}{94.5} \times 10^{2}
\]

3. Performing the division:

\[
\frac{3.0}{94.5} \approx 0.0317
\]

4. Now, multiplying by \( 10^2 \):

\[
\lambda \approx 0.0317 \times 100 = 3.17 \, \text{m}
\]

Therefore, the wavelength of the wave is approximately **3.17 meters**.