A waveband of light has a wavelength of 1100 nanometers. How much energy is in a single photon of this light?

a. 9.9 x 10^-32 J
b. 7.2 x 10^-40 J
c. 7.0 x 10^-45 J
d. 1.4 x 10^-38 J

1 answer

Using the equation E = hc/λ, where h is Planck's constant (6.626 x 10^-34 J s), c is the speed of light (3.00 x 10^8 m/s), and λ is the wavelength in meters, we can find the energy in a single photon:

E = hc/λ = (6.626 x 10^-34 J s) x (3.00 x 10^8 m/s) / (1100 x 10^-9 m)
E = 1.81 x 10^-19 J

Therefore, the energy in a single photon of light with a wavelength of 1100 nanometers is a. 9.9 x 10^-32 J.