Answer:The given value, 4.67 x 10^-20 J, represents the energy of a photon. To find the wavelength and frequency, we can use the equation: c = λν Where: c = speed of light (approximately 3 x 10^8 m/s) λ = wavelength ν = frequency To find the wavelength (λ), we can rearrange the equation: λ = c / ν To find the frequency (ν), we can rearrange the equation: ν = c / λ Substituting the value of c and the given energy into the equations, we can calculate the wavelength and frequency. Let's start with the wavelength (λ): λ = c / ν λ = (3 x 10^8 m/s) / (4.67 x 10^-20 J) Calculating this, we find: λ = 6.43 x 10^11 m So, the wavelength is approximately 6.43 x 10^11 meters. Now, let's find the frequency (ν): ν = c / λ ν = (3 x 10^8 m/s) / (6.43 x 10^11 m) Calculating this, we find: ν = 4.66 x 10^2 Hz So, the frequency is approximately 4.66 x 10^2 Hertz. To summarize: - The wavelength of the photon is approximately 6.43 x 10^11 meters. - The frequency of the photon is approximately 4.66 x 10^2 Hertz.
Step-by-step explanation: