Q16 / 57 · JEE Advanced 2010 (Paper 2) · Chemistry

Paragraph: 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.Question: Energy of the state $S_1$ in units of the hydrogen atom ground state energy is

  • A
    $0.75$
  • B
    $1.50$
  • Correct answer
    C
    $2.25$
  • D
    $4.50$

Solution

Energy of state, $S_1=-13.6\left(\frac{3^2}{2^2}\right) \mathrm{eV} /$ atom $=\frac{9}{4}$ of energy of $\mathrm{H}$-atom in ground state $=2.25$ of energy of $\mathrm{H}$-atom in ground state

Hence, the correct answer is option: 'C'.

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