Question

im not really understanding the question can someone please help me.


the energy difference between states A and B is twice the energy difference between states B and C (C > B > A). In a transition (quantum jump) from C to B, an electron emits a photon of wavelength 400 nm.

(a) What is the wavelength emitted when the photon jumps from B to A?

(b) What is the wavelength emitted when it jumps from C to A?

Answer 1

---------------C
↓ λ(CB)
---------------B
↓λ(BA)

---------------A

(a) ε(BA) = 2• ε(CB) =>
h•c/ λ(BA) =2• h•c/ λ(CB),
=> λ(BA) = λ(CB)/2 = 400/2 =200 nm.
(b) ε(CA) = ε(CB) + ε(BA) = ε(CB) + 2• ε(CB) = 3• ε(CB),
ε(CA) = 3• ε(CB), =>
λ(cA) = λ(CB)/3 = 400/3 =133.3 nm.