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

Respuesta :

Answer: lambda [tex]\lambda[/tex], nu [tex]\nu[/tex], and 100E

Explanation:

The energy [tex]E[/tex] of a photon is given by:

[tex]E=h\nu[/tex]   (1)

Where:

[tex]h[/tex] is the Planck constant

[tex]nu[/tex] is the frequency

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

[tex]nu=\frac{c}{\lambda}[/tex] (2) where [tex]c[/tex] is the speed of light

Substituting (2) in (1):

[tex]E=h\frac{c}{\lambda}[/tex]   (3) This is the energy for a single photon

For 100 photons, the energy is:

[tex]100E=100(h\frac{c}{\lambda})=100h\nu[/tex]   (3)

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

Therefore, the answer is:

[tex]\lambda[/tex], [tex]\nu[/tex], and 100E