A) the radius of nth orbit is proportional to n2
B) the total energy of electron in nth orbit is proportional to n
C) the angular momentum of an electron in an orbit is an integral multiple of \[\frac{h}{2\pi }\]
D) the magnitude of the potential energy of an electron in any orbit is greater than its kinetic energy
Correct Answer: B
Solution :
In Bohrs model of atom, the total energy of electron in the nth orbit is \[{{E}_{n}}=-\frac{Rhc}{{{n}^{2}}}\]where ionized state of hydrogen atom is taken as zero energy level. In the expression R is the Rydbergs constant, h the Plancks constant, and n is an integer. \[\therefore \] \[{{E}_{n}}\propto \frac{1}{{{n}^{2}}}\]
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