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JEE Advanced 2010Paper 2
Exam
JEE Advanced
Year
2010
Paper
Paper 2
Subject
Chemistry
Chapter
Structure of Atom

JEE Advanced 2010 · Paper 2 · Chemistry · Structure of Atom

Paragraph: The hydrogen-like species Li^ 2+ is in a spherically...

Paragraph: The hydrogen-like species Li2+\mathrm{Li}^{2+} is in a spherically symmetric state S1S_1 with one radial node. Upon absorbing light the ion undergoes transition to a state S2S_2. The state S2S_2 has one radial node and its energy is equal to the ground state energy of the hydrogen atom.Question: The state S1S_1 is

Options

  1. A1s1 s
  2. B2 s2 \mathrm{~s}
  3. C2p2 p
  4. D3 s3 \mathrm{~s}

Correct answer

B. 2 s2 \mathrm{~s}

Step-by-step solution

Given : Hydrogen like species, Li2+\mathrm{Li}^{2+} Spherically symmetric state, S1⇒sS_1 \Rightarrow s-orbital S1S_1 has radial node 1⇒2s1 \Rightarrow 2 s \quad (No. of radial node =1=n−l−1=1=n-l-1, so n=2n=2 ) Species undergoes state S2S_2 S2S_2 has energy equal to the ground state energy of H\mathrm{H}-atom =−13.6eV=-13.6 \mathrm{eV} So, −13.6=−13.6(32n2)\quad-13.6=-13.6\left(\frac{3^2}{n^2}\right)n=3AgainradialnodeAgain radial node=1=n-1-1oror1=3-l-1 \quadsoso\quad l=1ItsuggestsIt suggestsS_2isis3 p
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