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 $\nu$, and 100E

Explanation:

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

$E=h\nu$   (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 $\lambda$:

$nu=\frac{c}{\lambda}$ (2) where $c$ is the speed of light

Substituting (2) in (1):

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

For 100 photons, the energy is:

$100E=100(h\frac{c}{\lambda})=100h\nu$   (3)

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

Therefore, the answer is:

$\lambda$, $\nu$, and 100E