A sample of Hydrogen atoms in their ground state are excited by means of monochromatic radiation of wavelength 970.6Å. How many different wavelengths are possible in the resulting emission spectrum?

Engineering

Physics

Spectrum of Hydrogen and Hydrogen Like Atoms

Bohrs Model of Atom

Photoelectric Effect Einsteins Equation

Question

A sample of Hydrogen atoms in their ground state are excited by means of monochromatic radiation of wavelength 970.6Å. How many different wavelengths are possible in the resulting emission spectrum?

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$\frac{1}{λ} = R (1 - \frac{1}{n^{2}})$

$\frac{1}{970 .6 \times 10^{- 10}} = 1 .097 \times 10^{7} (1 - \frac{1}{n^{2}})$

n = 4

$lines \to_{2}^{4} C = \frac{4 \times 3}{2 \times 1} = 6$