Chemistry - Atomic Structure Question with Solution | TestHub

ChemistryAtomic StructureSchrödinger's EquationMedium2 minPYQ_2010

ChemistryMediumstatement

Passage / Comprehension

Paragraph: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.

Question:The state $S_{1}$ is

Options:

Answer:

Solution:

Given : Hydrogen like species, $Li^{2 +}$ Spherically symmetric state, $S_{1} \Rightarrow s$ -orbital $S_{1}$ has radial node $1 \Rightarrow 2 s$ (No. of radial node $= 1 = n - l - 1$ , so $n = 2$ ) Species undergoes state $S_{2}$ $S_{2}$ has energy equal to the ground state energy of $H$ -atom $= - 13.6 eV$ So, $- 13.6 = - 13.6 (\frac{3 ^{2}}{n ^{2}})$ $n = 3$ Again radial node $= 1 = n - 1 - 1$ or $1 = 3 - l - 1$ so $l = 1$ It suggests $S_{2}$ is $3 p$

Stream:JEE_ADVSubject:ChemistryTopic:Atomic StructureSubtopic:Schrödinger's Equation

⏱ 2mℹ️ Source: PYQ_2010

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