Modern Physics 1 Question 41
38. In the Bohr model of the hydrogen atoms
(1984, 2M)
(a) the radius of the $n$th orbit is proportional $n^{2}$.
(b) the total energy of the electron in the $n$th orbit is inversely proportional to $n$.
(c) the angular momentum of the electron in an orbit is an integral multiple of $h / \pi$.
(d) the magnitude of the potential energy of the electron in any orbit is greater than its kinetic energy.
Numerical Value
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Solution:
- $r _n \propto \frac{n^{2}}{Z}$ and $|PE|=2(KE)$