Question

Calculate the energy of a photon of radiation with a frequency of

8.24x10¹4 Hz
Calculate the energy of a photon of radiation with a wavelength of
6.44x10-⁹ m
Calculate the wavelength of light that emits 3:3x10-13 Joules of energy

Answer 1

E = hc/λ

Step-by-step explanation:

To calculate the energy of a photon of radiation, we can use the formula:

E = hf = hc/λ

where:

E = energy of the photon (in Joules)

h = Planck's constant (6.626 x 10^-34 Joule-seconds)

f = frequency of the radiation (in Hertz)

c = speed of light (3.0 x 10^8 meters/second)

λ = wavelength of the radiation (in meters)

For a frequency of 8.24 x 10^14 Hz:

E = hf = (6.626 x 10^-34 J*s)(8.24 x 10^14 Hz) = 5.46 x 10^-19 J

For a wavelength of 6.44 x 10^-9 m:

E = hc/λ = (6.626 x 10^-34 J*s)(3.0 x 10^8 m/s)/(6.44 x 10^-9 m) = 3.07 x 10^-19 J

To calculate the wavelength of light that emits 3.3 x 10^-13 Joules of energy:

E = hc/λ

λ = hc/E = (6.626 x 10^-34 J*s)(3.0 x 10^8 m/s)/(3.3 x 10^-13 J) = 6.01 x 10^-7 m = 601 nm