Question

Radio Station: What is the wavelength of a radio station photon from an AM radio station that broadcast at 1000 kilo-hertz? Remember that λ = c/f, where λ is the wavelength, f is the frequency and c is the speed of light (c = 300000 km/s)

Answer 1

Answer: The wavelength of a radio station photon from an AM radio station that broadcast at 1000 kilo-hertz is 3000 m.

Explanation:

To calculate the wavelength of light, we use the equation:

$\lambda=\frac{c}{\nu}$

where,

= wavelength of the light  = ?

c = speed of light = 300000 km/s = $3\times 10^8m/s$   (1km=1000m)

$\nu$ = frequency of light = 100kHz = 100000Hz or    (1kHz=1000Hz)

$\lambda=\frac{3\times 10^8m/s}{100000s^{-1}}$

$\lambda=3000m$

Thus the wavelength of a radio station photon from an AM radio station that broadcast at 1000 kilo-hertz is 3000 m.