Atomic Structure - Result Question 75
Passage Based Questions
The hydrogen-like species $\mathrm{Li}^{2+}$ is in a spherically symmetric state $S_1$ with one radial node. Upon absorbing light the ion undergoes transition to a state $S_2$. The state $S_2$ has one radial node and its energy is equal to the ground state energy of the hydrogen atom.
51. The orbital angular momentum quantum number of the state $S _2$ is
(2010)
(a) $0$
(b) $1$
(c) $2$
(d) $3$
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Answer:
Correct Answer: 51. (b)
Solution:
- In $S _2$ state, $E\left(Li^{2+}\right)=K$ (given)
$ K=\dfrac{q k}{n^{2}} $
$\Rightarrow \quad n =3$
Since, $S _2$ has one radial node.
$ \begin{aligned} 3-l-1 & =1 \\ l & =1 \end{aligned} $
BETA
