Question

What is the corresponding wavelength for frequency 300 MHz?

Answer 1

1 m

Step-by-step explanation:

We start by the formula one should know to correlate wavelength and frequency:

phase velocity = wavelength * frequency

From which one obtains:

wavelength = (phase velocity) / frequency

We need phase velocity. We must assume something, for example, the wave of of electromagnetic radiation (= light). In this case, the phase velocity is the physics constant c = 300 000 000 m/s =
`3 \cdot 10^8 m/s`

We can now compute the wavelength, but we firstly should convert the frequency in Hz:

`300 MHz = 300 \cdot 10^6 Hz = 3 \cdot 10^2 \cdot 10^6 Hz = 3 \cdot 10^8 Hz`

wavelength =
`(3 \cdot 10^8 m/s)/(3 \cdot 10^8 Hz) = 1 m`