The kinetic energy of an electron in the second Bohr orbit of a hydrogen atom is [a0 is Bohr radius]

Engineering

Chemistry

Bohrs Model for Hydrogen Atom

Question

The kinetic energy of an electron in the second Bohr orbit of a hydrogen atom is [a₀ is Bohr radius]

$\frac{h^{2}}{16 π^{2} {ma}_{0}^{2}}$

$\frac{h^{2}}{4 π^{2} {ma}_{0}^{2}}$

$\frac{h^{2}}{32 π^{2} {ma}_{0}^{2}}$

$\frac{h^{2}}{64 π^{2} {ma}_{0}^{2}}$

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mvr = nh/2p

$v = \frac{2 h}{2 πm 4 a} r \propto \frac{n^{2}}{z}$

$\frac{a}{x} = \frac{1}{4}$

$\frac{1}{2} {mv}^{2} \Rightarrow \frac{1}{2} \frac{m \times h^{2}}{π^{2} m^{2} \times 16 a_{0}^{2}} x = 4 a$

$K . C . = \frac{h^{2}}{32 {mπ}^{2} a_{0}^{2}}$