Atomic Structure - Result Question 73
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.
49. The state $S _1$ is
(2010)
(a) $1 s$
(b) $2 s$
(c) $2 p$
(d) $3 s$
Show Answer
Answer:
Correct Answer: 49. (b)
Solution:
- $S _1$ is spherically symmetrical state, i.e. it correspond to a $s$-orbital. Also, it has one radial node.
Number of radial nodes $=n-l-l$
$\begin{array}{lc} \Rightarrow & n-0-1=1 \\ \Rightarrow & n=2 \text { i.e. } S _1=2 s \text {-orbital. } \end{array}$
BETA
