It is the velocity required to get out from that partticular orbit in which the electron is revolving The escape velocity of the electron will be [tex]\rm { 4.795 \times 10^7 m/sec}[/tex]
It is the velocity required to get out from that partticular orbit in which the electron is revolving. For a given orbit value of escape velocity will be different.
At escape velocity, the sum of kinetic and potential energy is equal to zero.
KE + PE =0
[tex]KE = \frac{1}{2}mv^{2}[/tex]
[tex]PE = eV =-e\frac{Kq}{r}[/tex]
KE + PE =0
KE = -PE
[tex]\frac{1}{2}mv^{2}=e\frac{Kq}{r}[/tex]
[tex]V^{2} = \sqrt{\frac{2Keq}{rm} }[/tex]
[tex]\rm {V= \sqrt{\frac{2\times8.99\times(10)^{-9}\times1.6\times10^{-19}\times8\times10^{-9}}{1.1\times\times10^{-2}\times9.11\times10^{-31}} }}[/tex]
[tex]\rm {V = 4.795 \times 10^7 m/sec}[/tex]
the escape velocity of an electron will be [tex]\rm { 4.795 \times 10^7 m/sec}[/tex].
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