The figure indicates the energy levels of a certain atom. When the system moves from 2E level to E, a photon of wavelength λ is emitted. The wavelength of photon produced during its transition from (4E/3) level to E is

Question

The figure indicates the energy levels of a certain atom. When the system moves from 2E level to E, a photon of wavelength λ is emitted. The wavelength of photon produced during its transition from (4E/3) level to E is (A) (λ/3) (B) (3 λ/4) (C) (4 λ/3) (D) 3λ

Tardigrade Admin · Accepted Answer

In the first case, energy emitted, E1 = 2E - E = E In the second case, energy emitted E2 = (4E/3) - E = (E/3) As E2 is ((1/3))rd , λ2 must be 3 times, i.e. 3λ.

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

$\frac{λ}{3}$

$\frac{3 λ}{4}$

$\frac{4 λ}{3}$

$3 λ$

In the first case, energy emitted, $E_{1} = 2 E - E = E$
In the second case, energy emitted
$E_{2} = \frac{4 E}{3} - E = \frac{E}{3}$
As $E_{2}$ is $(\frac{1}{3})^{r d}, λ_{2}$ must be $3$ times, i.e. $3 λ .$

Q. The figure indicates the energy levels of a certain atom. When the system moves from 2E level to E, a photon of wavelength λ is emitted. The wavelength of photon produced during its transition from 34E​ level to E is

3λ​

43λ​

34λ​

3λ