1. Tardigrade
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  3. Chemistry
  4. Read the passage given below and answer the question The hydrogen-like species Li2+ is in a spherically symmetric state S1 with one radial node. Upon absorbing light the ion undergoes transition to a state S2. The state S2 has one radial node and its energy is equal to the ground state energy of the hydrogen atom. The orbital angular momentum quantum number of the state S2 is

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Q. Read the passage given below and answer the question
The hydrogen-like species $Li^{2+}$ 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.
The orbital angular momentum quantum number of the state $S_2$ is

Structure of Atom

Solution:

The state $S_2$ has one radial node and its energy is equal to the ground state energy of the hydrogen atom. This is possible only for $3p$ orbital.
$3p$ orbital has one radial node,
$n = 3$, $l = 1 \Rightarrow (n-l-1) = ( 3 - 1- 1) = l$
$E=E_{H}\times\frac{Z^{2}}{n^{2}}$
$E_{H}\times\frac{3^{2}}{2^{2}}=E_{H}$
Azimuthal quantum number for the state $S_2$,$l = 1$.