An electron in a harmonic potential well absorbs a photon with a wavelength of 4

Question

An electron in a harmonic potential well absorbs a photon with a wavelength of 450nm as it undergoes a 1 to   2 quantum jump. What wavelength is absorbed in a 1 to 3 quantum jump? Express your answer to two significant figures and include the appropriate units. An electron in a harmonic potential well absorbs a photon with a wavelength of 450nm as it undergoes a 1 to   2 quantum jump. What wavelength is absorbed in a 1 to 3 quantum jump? Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

the energy relation is given as E=(n+1/2)hv

= ((n+1/2)hc)/d) where c is velocity of light, d is wavelength of light absorbed by photon.

The harmonic oscillator has evenly-spaced energy levels.

so E3-E1= twice the energy of (E2-E1)

let E be energy difference between two consecutive levels,

then

hc/d1= E   where d1 is for level 1 to 2 jump

hc/d2=2E where d2 is for level 1 to 3 jump

solving gives d2 = (d1)/2

= (450/2) nm

=225.00 nm

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.