First slide

Bohr Model of the Hydrogen atom.

Question

In the following energy level diagram, when

an atom makes transition from 2 E energy level to E energy level, then it emits a photon of wavelength L The wavelength corresponding to transition from 4 E / 3 energy level to E energy level will be

Easy

A

$λ / 3$
B

$3 / λ$
C

$3 λ$
D

$3 λ / 4$

Solution

When the atom makes transition from energy level Z E to energy level E, then $2 E - E = hc / λ or E = hc / λ$ When the atom makes transition from (4 E / 3) to E, we have
$\frac{4 E}{3} - E = \frac{h c}{λ^{'}} or \frac{E}{3} = \frac{h c}{λ^{'}}$
$\frac{λ^{'}}{λ} = 3 or λ^{'} = 3 λ$

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