If the velocity of an electron in the 1^{st} | vedclass

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(A) The velocity of an electron in the $n^{th}$ orbit of a hydrogen-like species is given by the formula: $v = v_0 	imes \frac{Z}{n}$,where $v_0$ is

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$V$

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(A) The velocity of an electron in the $n^{th}$ orbit of a hydrogen-like species is given by the formula: $v = v_0 	imes \frac{Z}{n}$,where $v_0$ is the velocity in the $1^{st}$ orbit of the $H$ atom $(Z=1, n=1)$.Given for $H$ atom: $v_1 = V = v_0 	imes \frac{1}{1} = v_0$.For $Be^{3+}$ ion,the atomic number $Z = 4$ and the orbit number $n = 4$.Therefore,the velocity $v_2 = v_0 	imes \frac{Z}{n} = V 	imes \frac{4}{4} = V$.Thus,the velocity in the $4^{th}$ orbit of $Be^{3+}$ is $V$.

If the velocity of an electron in the $1^{st}$ orbit of the $H$ atom is $V$,then what will be the velocity in the $4^{th}$ orbit of $Be^{3+}$?

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