A photon with wavelength 11. 0 nm is absorbed when an electron in a three-dimensional cubical box makes a transition from the gr

Question

2 years ago

6

ound state to the second excited state

1 answer:

const2013 [10] · Answer 1 · 2023-02-15T20:58:49+03:00

For a photon with wavelength 11. 0 nm, the side length LL of the box is mathematically given as

L=1.414*10^{-27}m

<h3>What is the side length LL of the box?</h3>

Generally, the equation for the change in energy is mathematically given as

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

Therefore

$\frac{hc}{\lambda}=\frac{6h^2}{8ml}\\\\L=\sqrt{6h\lambda}{8mc}\\\\L=\sqrt{\frac{6(6.626*10^{-34})*11.0*10^{-9}}{8(9.11*10^31)(3*10^8)}}$

L=1.414*10^{-27}m

In conclusion, the side length LL of the box is

L=1.414*10^{-27}m