Question

Consider a single photon with a wavelength of λ , a frequency of ν , and an energy of E . What is the wavelength, frequency, and energy of a pulse of light containing 100 of these photons?

Answer 1

Answer:

The wavelength is λ, the frequency is ν and the energy is 100E.

 

Explanation:

The energy of a single photon is given by:

$E = \frac{hc}{\lambda} = hv$

Where:

E: is the energy of a single photon,

h: is the Planck constant,

c: is the speed of light,

λ: is the photon's wavelength and

ν: is the photon's frequency        

The wavelength and the frequency of the 100 photons are the same as the single-photon since the pulse of light contains 100 times the single-photon, therefore, for the pulse of light we have that the wavelength is λ, the frequency is ν, and the energy is:

$E = 100 \frac{hc}{\lambda} = 100 hv = 100 E$

Hence, the energy of the pulse of light is 100 times the E of the single photon.

I hope it helps you!