Question

The figure shows energy levels of certain atom, when the system moves from level $2E$ to $E$, a photon of wavelength $\lambda$ is emitted. The wavelength of photon produced during its transition from level $\frac{4}{3}E$ to $E$ level is :

• A. 3$\lambda$
• B. $3/4$$\lambda$
• C. $\lambda$$/4$
• D. $2$$\lambda$

Answer 1

The correct option is A 3$\lambda$

Loss in energy when transition occurs from $2E$ to $E$ $=E$
Given that: $\frac{hc}{\lambda }=E$ ---------(i)
According to question:
Loss of energy in $2^{nd}$ transition $=(\frac{4}{3}-1)E=\frac{E}{3}$

So, let the wavelength of unknown photon be ${\lambda }_1,$
$\frac{hc}{{\lambda }_1}=\frac{E}{3}\Rightarrow {\lambda }_1=3\lambda$