First slide

Bohr Model of the Hydrogen atom.

Question

For an atom of ion having single electron, the following wavelengths are observed. What is the value of missing wavelength x ?

Easy

A

20
B

40
C

60
D

120

Solution

Applying Ritz combination principle, we get
$\frac{1}{λ_{n_{3} \to n_{1}}} = \frac{1}{λ_{n_{3} \to n_{2}}} + \frac{1}{λ_{n_{2} \to n_{1}}} or \frac{1}{40} = \frac{1}{x} + \frac{1}{60} or \frac{1}{x} = \frac{1}{40} - \frac{1}{60} or x = 120 mm$

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