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

To find the wavelength, frequency, and energy of a pulse of light containing 100 photons, use the formulas: wavelength of the pulse of light = wavelength of a single photon / number of photons, frequency of the pulse of light = frequency of a single photon * number of photons, energy of the pulse of light = energy of a single photon * number of photons.

Step-by-step explanation:

In order to find the wavelength, frequency, and energy of a pulse of light containing 100 photons, we need to consider the properties of a single photon. The wavelength and frequency of a single photon are inversely proportional, meaning that as the wavelength increases, the frequency decreases, and vice versa. The energy of a single photon is directly proportional to its frequency.

1. To find the wavelength of the pulse of light, we divide the wavelength of a single photon by the number of photons. If the wavelength of a single photon is λ and the number of photons is N, then the wavelength of the pulse of light is λ/N.
2. To find the frequency of the pulse of light, we multiply the frequency of a single photon by the number of photons. If the frequency of a single photon is ν and the number of photons is N, then the frequency of the pulse of light is νN.
3. To find the energy of the pulse of light, we multiply the energy of a single photon by the number of photons. If the energy of a single photon is E and the number of photons is N, then the energy of the pulse of light is EN.

Using these formulas, we can calculate the wavelength, frequency, and energy of the pulse of light containing 100 photons.

Answer 2

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

Step-by-step explanation:

The energy of a single photon is given by:

`E = (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 (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!