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:

  1. $r _n \propto \frac{n^{2}}{Z}$ and $|PE|=2(KE)$


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