Question

An AM station broadcasts rock music at "920. on your radio dial." Units for AM frequencies are given in kilohertz (kHz). Find the wavelength of the station's radio waves in meters (m), nanometers (nm), and angstroms (Å)

Answer 1

Wavelength = 326.0869 m

Wavelength = 3.2609×10⁻¹¹ nm

Wavelength = 3.2609×10⁻¹² Å

Step-by-step explanation:

The relation between frequency and wavelength is shown below as:

c = frequency × Wavelength

c is the speed of light having value
`3* 10^8\ m/s`

Given, Frequency = 920 kHz

As,
`1\ kHz=10^3\ Hz`

So, Frequency =
`920* 10^3\ Hz`

Thus,

`Wavelength=(c)/(Frequency)`

`Wavelength=(3* 10^8)/(920* 10^3)\ m`

Wavelength = 326.0869 m

Also,

1 m = 10⁻⁹ nm

So, Wavelength = 3.2609×10⁻¹¹ nm

1 m = 10⁻¹⁰ Å

So, Wavelength = 3.2609×10⁻¹² Å