To find the wavelength of a photon with a frequency of 6.34 x 10^19 s^-1, use the equation c = λν, where c is the speed of light (3.00 x 10^8 m/s), λ is wavelength, and ν is frequency. The wavelength is 4.73 x 10^-12 meters.
To calculate the wavelength of a photon with a frequency of 6.34 x 1019 s-1, you use the formula that relates the speed of light (c), wavelength (λ), and frequency (ν). The formula is c = λν, where 'c' is the speed of light in a vacuum, approximately 3.00 x 108 meters per second (m/s). Isolating the wavelength (λ), you get λ = c/ν.
Substituting the given values into the equation:
- Frequency (ν) = 6.34 x 1019 s-1
- Speed of light (c) = 3.00 x 108 m/s
λ = c/ν = 3.00 x 108 m/s / 6.34 x 1019 s-1 = 4.73 x 10-12 meters (m).
Therefore, the wavelength of the photon is 4.73 x 10-12 meters.