Question

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

Answer 1

`3.14\cdot 10^(-8) m`

Step-by-step explanation:

The energy of a photon is related to its wavelength by

`E=(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=(hc)/(E)=((6.63\cdot 10^(-34) Js)(3\cdot 10^8 m/s))/(6.33\cdot 10^(-18) J)=3.14\cdot 10^(-8) m`