Question

An electron jumps from principle quantum state A to C by releasing photon of wavelength 2000 Å and from state B to C by releasing of photon of wavelength 6000 Å, then final the wavelength of photon for transition from A to B

(1) 3000 Å

(2) 4000 Å

(3) 8000 Å

(4) 2000 Å

Answer 1

Correct option is : (1) 3000 Å

\(E_{AC} = E_{AB}+ E_{BC}\)

\(\frac{hC}{2000\mathring{A}} = \frac{hC}{\lambda} + \frac{hC}{6000 \mathring {A}} \Rightarrow \frac{3 - 1}{6000} = \frac{1}{\lambda}\)

\(\lambda = 3000\mathring {A}\)