The velocity of an electron in the 3^{rd} exc | vedclass

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(D) The velocity of an electron in a hydrogen-like species is given by $v = 2.188 	imes 10^6 	imes \frac{Z}{n} \, m \cdot s^{-1}$.For $Be^{3+}$,the

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$(2.188 	imes 10^3) \, km \cdot s^{-1}$

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(D) The velocity of an electron in a hydrogen-like species is given by $v = 2.188 	imes 10^6 	imes \frac{Z}{n} \, m \cdot s^{-1}$.For $Be^{3+}$,the atomic number $Z = 4$.The $3^{rd}$ excited state corresponds to $n = 4$ (since ground state is $n=1$,$1^{st}$ excited is $n=2$,$2^{nd}$ is $n=3$,and $3^{rd}$ is $n=4$).Substituting the values: $v = 2.188 	imes 10^6 	imes \frac{4}{4} = 2.188 	imes 10^6 \, m \cdot s^{-1}$.Converting to $km \cdot s^{-1}$ by dividing by $1000$ $(10^3)$: $v = 2.188 	imes 10^3 \, km \cdot s^{-1}$.

The velocity of an electron in the $3^{rd}$ excited state of $Be^{3+}$ is .......

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