which of the following required Bohr's model of the atom to need modification
A. energies of electrons are quantized
b. electrons do not follow circular orbits around the nucleus
c. Quantized electrons energies are responsible for emission spectra lines
d. an electrons energy increases the farther it moves from the nucleus
Answers
Answer:
Bohr'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, squared, end fraction, dot, 13, point, 6, start text, e, V, end text
Bohr explained the hydrogen spectrum in terms of electrons absorbing and emitting photons to change energy levels, where the photon energy is
h\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
)⋅13.6eVh, \nu, equals, delta, E, equals, left parenthesis, start fraction, 1, divided by, n, start subscript, l, o, w, end subscript, squared, end fraction, minus, start fraction, 1, divided by, n, start subscript, h, i, g, h, end subscript, squared, end fraction, right parenthesis, dot, 13, point, 6, start text, e, V, end text
Bohr's model does not work for systems with more than one electron.