For a one-electron atom,the set of allowed qu | vedclass

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Question

(A) The allowed quantum numbers for an electron must satisfy the following conditions: $(i)$ $l$ must range from $0$ to $n-1$. $(ii)$ $m_l$ must range

Vedclass · Accepted Answer

$n=1, l=0, m_l=0, m_s=+1/2$

Vedclass · Answer

(A) The allowed quantum numbers for an electron must satisfy the following conditions: $(i)$ $l$ must range from $0$ to $n-1$. $(ii)$ $m_l$ must range from $-l$ to $+l$. $(iii)$ $m_s$ must be equal to $\pm 1/2$. For $n=1$,the only possible value for $l$ is $0$. If $l=0$,then $m_l$ must be $0$. Therefore,the set $n=1, l=0, m_l=0, m_s=+1/2$ is valid. Options $B, C,$ and $D$ violate the condition $l < n$ or the range of $m_l$.

For a one-electron atom,the set of allowed quantum numbers is

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