Question

What is the wavelength of a radio photon from an "am" radio station that broadcasts at 1120 kilohertz?

Answer 1

The wavelength of the radio photon  is 268 m.

Electromagnetic waves travel with the speed of 3×10⁸m/s in vacuum. The speed of a wave c is related to its frequency f and wavelengthλ as follows:

$c=f\lambda$

Thus the wavelength is given by,

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

Substitute 3×10⁸m/s for c and 1120×10³Hz for f.

$\lambda =\frac{c}{f}\\ =\frac{3*10^8m/s}{1120*10^3Hz} \\ =267.8 m\\ =268 m$

Thus the wavelength of the radio photon from an AM station is 268 m

Answer 2

The wavelength of the radio photon is 267.9 m

Since the radio photon is an electromagnetic wave, we use the equation for the speed of an electromagnetic wave.

v = fλ where

• v = speed of radio photon = 3 × 10⁸ m/s,
• f = frequency of radio photon = 1120 kHz = 1120 × 10³ Hz = 1.120 × 10⁶ Hz and
• λ = wavelength of radio photon.

Making λ subject of the formula, we have

λ = v/f

Substituting the values of the variables into the equation, we have

λ = 3 × 10⁸ m/s ÷ 1.120 × 10⁶ Hz

= 2.679 × 10² m

= 267.9 m

So, the wavelength of the radio photon is 267.9 m

Learn more about wavelength here:

https://brainly.com/question/25481873