contestada

An electron is in the ground state of an infinite square well. The energy of the ground state is E1 = 0.46 eV. Use hc=1240 nm eV.

(a) What wavelength of electromagnetic radiation would be needed to excite the electron to the n = 2 state?
(b) What is the width of the square well?

Respuesta :

okpalawalter8

For an electron is in the ground state of an infinite square well, the wavelength of electromagnetic radiation and the width of the square well  is mathematically given as

  • \lambda=67.96nm
  • a=0.7nm

What wavelength of electromagnetic radiation would be needed to excite the electron to the n = 2 state?

Generally, the equation for the  wavelength is mathematically given as

[tex]\lambda=\frac{hc}{24e}[/tex]

Therefore

\lambda=1240/12.24ev

\lambda=67.96nm

In conclusion, the width of the square well

[tex]a^2=\frac{\pi^2*h^2}{2me}[/tex]

Therefore

[tex]a^2=\frac{9.85*1.10*10^-68}{18.2*10^31*1,21*10^{19}}[/tex]

a^2=0.492*10^18

a=0.7nm

Read more about  Speed

https://brainly.com/question/4931057