What is the wavelength of a radio photon from an "AM" radio station that broadcasts at 1160 kilohertz? What is its energy ?
wave equation:
freqency*wavelength=speedodlight
freq=3e8/1160e3
energy=Planck'sConstant*frequency
To find the wavelength of a radio photon from an "AM" radio station that broadcasts at 1160 kilohertz, we can use the equation:
wavelength = speed of light / frequency
The speed of light is a constant value, approximately 3 x 10^8 meters per second.
First, let's convert the frequency from kilohertz (kHz) to hertz (Hz):
Frequency = 1160 kHz = 1160 x 10^3 Hz
Now we can plug the values into the equation:
wavelength = (3 x 10^8 m/s) / (1160 x 10^3 Hz)
Simplifying the equation gives:
wavelength = 258.62 meters
Thus, the wavelength of the radio photon from the "AM" radio station is approximately 258.62 meters.
To calculate the energy of this radio photon, we can use the equation:
energy = Planck's constant x frequency
Planck's constant is a fundamental constant in physics, approximately 6.626 x 10^-34 joule-seconds.
Again, let's convert the frequency from kilohertz (kHz) to hertz (Hz):
Frequency = 1160 kHz = 1160 x 10^3 Hz
Now we can plug the values into the equation:
energy = (6.626 x 10^-34 J·s) x (1160 x 10^3 Hz)
Simplifying the equation gives:
energy = 7.68 x 10^-28 joules
Thus, the energy of the radio photon from the "AM" radio station is approximately 7.68 x 10^-28 joules.