What is the wavelength of a photon having a frequency of 71.6 THz?
So I know 1 THz = 10 to the power of 15 Hz And c= 3 x 10 to the 8th and h= 6.63 x 10 to the -34th
So c = f*w.
f = frequency in Hz
w = wavelength in m
c is speed of light in m/s
To find the wavelength of a photon, you can use the formula:
wavelength = c / frequency
where:
- wavelength is the distance between two consecutive peaks or troughs of a wave, typically measured in meters (m)
- c is the speed of light, which is approximately 3 x 10^8 meters per second (m/s)
- frequency is the number of wave cycles per second, typically measured in Hertz (Hz)
Given that the frequency is 71.6 THz, we need to convert it to Hz.
1 THz is equal to 10^12 Hz (since "T" stands for tera, which means 10^12), so we can convert 71.6 THz to Hz as follows:
71.6 THz * 10^12 Hz/1 THz = 71.6 * 10^12 Hz
Now we have the frequency in Hz.
Next, we can substitute the values into the wavelength formula:
wavelength = (3 x 10^8 m/s) / (71.6 * 10^12 Hz)
Now we can simplify the expression:
wavelength = (3 x 10^8) / (71.6) * (10^12)
To calculate this, divide 3 x 10^8 by 71.6, and multiply the result by 10^12:
wavelength ≈ 4.18 x 10^6 meters
Therefore, the wavelength of a photon with a frequency of 71.6 THz is approximately 4.18 x 10^6 meters.