Question

Consider a single photon with a wavelength of lambda, a frequency of nu, and an energy of E. What is the wavelength, frequency, and energy of a pulse of light containing 100 of these photons? 0.01 lambda, nu, and 100E 0.01 lambda, 0.01 nu, and 0.01 E 100 lambda, 100 nu, and E 100 lambda, 100 nu, and 100 E lambda, nu, and 100E

Answer 1

Answer: lambda
`\lambda`, nu
`\\u`, and 100E

Step-by-step explanation:

The energy
`E` of a photon is given by:

`E=h\\u` (1)

Where:

`h` is the Planck constant

`nu` is the frequency

On the other hand, we have an expression that relates the frequency of the photn with its wavelength
`\lambda`:

`nu=(c)/(\lambda)` (2) where
`c` is the speed of light

Substituting (2) in (1):

`E=h(c)/(\lambda)` (3) This is the energy for a single photon

For 100 photons, the energy is:

`100E=100(h(c)/(\lambda))=100h\\u` (3)

Where the wavelength and the frequency of the light remains constant.

Therefore, the answer is:

`\lambda`,
`\\u`, and 100E