Atomic StructureHard

Question

Which of the following expression represent the wave number of spectral lines in Balmer series (if n is the principal quantum number of higher energy level)?

Options

A.$\frac{R\left( n^{2} - 4 \right)}{n^{2}}$
B.$\frac{R(n - 2)(n + 2)}{n^{2}}$
C.$\frac{R(n - 2)(n + 2)}{4n^{2}}$
D.$\frac{R(n - 1)(n + 1)}{4n^{2}}$

Solution

$\bar{\upsilon} = R.\left( \frac{1}{2^{2}} - \frac{1}{n^{2}} \right) = \frac{R\left( n^{2} - 4 \right)}{4n^{2}}$

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