What is the wavelength of a radio photon from an "AM" radio station that broadcasts at 1160 kilohertz?What is its energy in joules
hello Scott are you familiar with the merchant of venice by william shakespeare if so can you check my answers thank you
To calculate the wavelength of a radio photon from an "AM" radio station, we can use the formula:
Wavelength (λ) = c / frequency (f)
where c is the speed of light (approximately 3.00 x 10^8 meters per second) and frequency (f) is given in hertz (Hz).
In this case, the frequency is 1160 kilohertz, which is equivalent to 1,160,000 hertz.
Using the formula, we can calculate the wavelength:
λ = c / f
λ = (3.00 x 10^8 m/s) / (1,160,000 Hz)
λ ≈ 258.62 meters
Therefore, the wavelength of the radio photon from the "AM" radio station is approximately 258.62 meters.
To calculate the energy of the radio photon in joules, we can use the equation:
Energy (E) = Planck's constant (h) × frequency (f)
where Planck's constant (h) is approximately 6.626 x 10^-34 joule-seconds.
Using the given frequency of 1,160,000 hertz, we can calculate the energy:
E = h × f
E = (6.626 x 10^-34 J·s) × (1,160,000 Hz)
E ≈ 7.681 x 10^-28 joules
Therefore, the energy of the radio photon from the "AM" radio station is approximately 7.681 x 10^-28 joules.
To find the wavelength of a radio photon from an "AM" radio station, you need to use the formula:
wavelength = speed of light / frequency
The speed of light is a constant value of approximately 3 x 10^8 meters per second. However, the frequency of the "AM" radio station is given in kilohertz (kHz), so you need to convert it to hertz (Hz).
1 kilohertz (kHz) = 1000 hertz (Hz)
Therefore, the frequency of the radio station is 1160 kilohertz = 1160 x 1000 Hz = 1,160,000 Hz.
Now you can substitute the values into the equation:
wavelength = 3 x 10^8 m/s / 1,160,000 Hz
Calculating this, the wavelength of the radio photon is approximately 258.62 meters.
To find the energy of the radio photon in joules, you can use Planck's equation:
energy = Planck's constant * frequency
Planck's constant is a physical constant equal to approximately 6.63 x 10^(-34) Joule-seconds.
Substituting the values:
energy = 6.63 x 10^(-34) J*s * 1,160,000 Hz
Calculating this, the energy of the radio photon from the "AM" radio station is approximately 7.69 x 10^(-26) Joules.
wavelength = velocity / frequency
energy = frequency * Planck's constant
... be sure to use the joules value of the constant