P h y s i c s Q u e s t i o n : What is the wavelength?

Question

of radio waves rec'd at 107.3 MHz on FM radio (in m). Radio waves travel at the speed of light (300000 km/s).

Answer 1

wl=m

wl=300000km/s / 107.3 mhz

wl=0.0028km

or 2.796m

Answer 2

The wavelength of -any- wave is it's propagation velocity divided by its frequency, so 107.3 MHz would have a wavelength of
3*10^8/1.073*10^8 = 2.788 meters


Doug

Answer 3

[ Relationship with frequency
Wavelength λ has an inverse relationship to frequency f, the number of peaks to pass a point in a given time. The wavelength is equal to the speed of the wave type divided by the frequency of the wave. When dealing with electromagnetic radiation in a vacuum, this speed is the speed of light c. For sound waves in air, this is the speed of sound in air. The relationship is given by:


where

λ = wavelength of a sound wave or electromagnetic wave
vw is the speed of propagation of the wave, and
f = frequency of the wave in 1/s = Hz.
For radio waves this relationship is approximated with the formula: wavelength λ (in metres) equals 3×108 m/s divided by frequency ν (in hertz).

For sound waves this relationship is approximated with the formula: wavelength λ (in metres) = 343 m/s divided by frequency (in hertz).

Answer 4

Since 300 MHz is one meter, the wavelength would be 300/107.3 meters.

Answer 5

v = f w where w = wavelength so:

=v/f = 170. X10^6 /3 x10 ^ 8 = 0.358m

Answer 6

Wavelength = velocity / frequency

= 3E8 / 107.3E6 = 2.795 metres.