Question

The wavelength of a photon that has an energy of 6.33 × 10-18 j is ________ m.

Answer 1

Answer:

$3.14\cdot 10^{-8} m$

Explanation:

The energy of a photon is related to its wavelength by

$E=\frac{hc}{\lambda}$

where

E is the energy

h is the Planck constant

c is the speed of light

$\lambda$ is the wavelength

In this problem, we know the energy

$E=6.33\cdot 10^{-18} J$

So we can solve the previous formula for the wavelength:

$\lambda=\frac{hc}{E}=\frac{(6.63\cdot 10^{-34} Js)(3\cdot 10^8 m/s)}{6.33\cdot 10^{-18} J}=3.14\cdot 10^{-8} m$