First slide

Bohr Model of the Hydrogen atom.

Question

Hydrogen atom in ground state is excited by a monochromatic radiation of $λ = 975 A^{o}$ . Number of spectral lines in the resulting spectrum emitted will be

Moderate

A

3
B

2
C

6
D

10

Solution

$\frac{1}{λ} = {RZ}^{2} [\frac{1}{{n_{1}}^{2}} - \frac{1}{{n_{2}}^{2}}] \frac{1}{975 x 10^{- 10}} = 1.097 x 10^{7} [\frac{1}{1^{2}} - \frac{1}{n^{2}}]; n = 4$
no of spectral lines $\frac{n (n - 1)}{2} = \frac{4 (4 - 1)}{2} = 6$

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