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JEE Advanced2010ChemistryStructure of AtomActual

Paragraph: The hydrogen-like species Li ²⁺ 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. Question: Energy of the state S₁ in units of the hydrogen atom ground state energy is

Options

  1. A0.75
  2. B1.50
  3. C2.25
  4. D4.50

Correct answer

C. 2.25

Step-by-step solution

Energy of state, S₁=-13.6 ( 3^2 2^2 ) eV / atom = 9 4 of energy of H -atom in ground state =2.25 of energy of H -atom in ground state

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