First slide

Bohr Model of the Hydrogen atom.

Question

The kinetic energy of the electron in an orbit of radius r in hydrogen atom (in C.G.S system)is (e = electronic charge)

Moderate

A

$\frac{e^{2}}{r^{2}}$
B

$\frac{e^{2}}{2 r}$
C

$\frac{e^{2}}{r}$
D

$\frac{e^{2}}{2 r^{2}}$

Solution

Potential energy of electron in nth orbit of radius r in
H-atom
$\begin{array}{l} U = - \frac{e^{2}}{r} (in CGS) \\ ∴ K . E . = \frac{1}{2} |P . E .| \Rightarrow K = \frac{e^{2}}{2 r} \end{array}$

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