Question

Suppose that we have a system in which the energy levels are evenly spaced, and that when the system transitions from one state to the next lowest state a photon of wavelength 800 nm is emitted. What is the wavelength (in nm) if the system drops by two energy levels instead of one?

Answer 1

Wavelength=800nm

Calculate the transaction energy of the 2levels.

Energy of the absorbed photons is calculated using the following formula;

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

$\dfrac{(6,63*10^{-34})*(3*10^8)}{800*10^{-9}}$

$=2,4*10^{-19}J$

If the system drops by 2 levels then

$=2,4*10^{-19}*2\newline =4.8*10^{-19}$

Wavelength ($\lambda$) $=\dfrac{hc}{E}$

$=\dfrac{(6,63*10^{-34})*(3*10^8)}{4,8*10^{-19}J}$

$=414nm$