Question

What is the energy of a photon that has a wavelength of 8.6x10^3nm?

Answer 1

Answer:

The energy of the photon is $2.311\times 10^{-20}\ J$.

Explanation:

Given:

The wavelength of the photon is given as:

$\lambda =8.6\times 10^3\ nm\\1\ nm = 10^{-9}\ m\\\therefore \lambda = 8.6\times 10^{3}\times 10^{-9}=8.6\times 10^{-6}\ m$

The energy of a photon in terms of its wavelength is given as:

$E_p=\frac{hc}{\lambda}\\Where,\ h\rightarrow \textrm{Planck's constant}=6.626\times 10^{-34}\ Js\\c\rightarrow \textrm{velocity of light}=3\times 10^8\ m/s$

Plug in all the given values and calculate energy of the photon, $E_p$. This gives,

$E_p=\frac{6.626\times 10^{-34} \times 3\times 10^8}{8.6\times 10^{-6}}\\E_p=\frac{19.878\times 10^{-26}}{8.6\times 10^{-6}}\\E_p=2.311\times 10^{-20}\ J$

Therefore, the energy of the photon is $2.311\times 10^{-20}\ J$.