Compute the frequency (in MHz) of an EM wave with a wavelength of 1.4 in. (0.0356 m).

Answer 1

Hi, Madison!

The key to this problem is to use the equation that relates the speed of a wave to its wavelength and frequency:

v = fλ, where v is the speed of a wave, f is its frequency, and λ is its wavelength. We can rewrite this equation in terms of our frequency:

f = v / λ

Next, we can note that EM waves travel at the speed of light, so v = c = 3.00 × 10⁸ m/s.

Additionally, we are given that λ = 0.0356m. We can plug these two values into our equation to solve for the frequency.

f = (3.00 × 10⁸ m/s) / 0.0356m ≈ 8.43 × 10⁹ Hz

Finally, we can convert this value of frequency into MHz by noting that 1MHz = 10⁶ Hz:

f = 8.43 × 10³ MHz

f = 8,430 MHz

I hope that this explanation was helpful, and please don't hesitate to reach out if you have any further questions!