Atomic Structure - Result Question 92
In an atom, the total number of electrons having specific quantum numbers
(2014 Adv.)
$n=4,\left|m _l\right|=1 \text { and } m _s=-\dfrac{1}{2} \text { is }$
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Answer:
Correct Answer: 68. (6)
Solution:
This problem is based on the concept of quantum numbers. Follow the following steps to solve this problem. Write all possible orbitals having the combination of same principal, azimuthal, magnetic and spin quantum numbers.
Then count all possible electrons having a given set of quantum numbers.
For $n=4$, the total number of possible orbitals is
According to question $\left|m_l\right|=1$, i.e. there are two possible values of $m_l$, i.e. +1 and -1 and one orbital can contain maximum two electrons one having $s=+\dfrac{1}{2}$ and other having $s=-\dfrac{1}{2}$.
So, total number of orbitals having $\{\left|m_l\right|=1\}=6$
Total number of electrons having specific energy levels
${\left|m _l\right|=1 \text { and } m _s=-\dfrac{1}{2} }=2$
BETA
