Question

How has Bohr's theory help in calculating the energy of hydrogen electron in different energy levels

Answer 1

Key pointsBohr's model of hydrogen is based on the nonclassical assumption that electrons travel in specific shells, or orbits, around the nucleus.Bohr's model calculated the following energies for an electron in the shell, nnn:E(n)=-\dfrac{1}{n^2} \cdot 13.6\,\text{eV}E(n)=−​n​2​​​​1​​⋅13.6eVE, left parenthesis, n, right parenthesis, equals, minus, start fraction, 1, divided by, n, start superscript, 2, end superscript, end fraction, dot, 13, point, 6, space, e, VBohr explained the hydrogen spectrum in terms of electrons absorbing and emitting photons to change energy levels, where the photon energy ish\nu =\Delta E = \left(\dfrac{1}{{n_{low}}^2}-\dfrac{1}{{n_{high}}^2}\right) \cdot 13.6\,\text{eV}hν=ΔE=(​n​low​​​2​​​​1​​−​n​high​​​2​​​​1​​)⋅13.6eVBohr's model does not work for systems with more than one electron.