MCQ
Which of the following energy change is less than third balmer transition in $H{e^ \oplus }$ ion
  • A
    First excitation energy of $H{e^ \oplus }$ ion
  • Third separation energy of $Li^{+2}$ ion
  • C
    Fourth excitation energy of $H-$ atom
  • D
    Ionisation energy of $Be^{+3}$ ion

Answer

Correct option: B.
Third separation energy of $Li^{+2}$ ion
b
For third transition of balmer series

$ \Delta \mathrm{E} =\left(\mathrm{E}_{\mathrm{s}}-\mathrm{E}_{2}\right) \times \mathrm{Z}^{2}$

$=(-0.54+3.4) \times 4 $

$=11.44 \,\mathrm{eV} $

For $\mathrm{He}^{+}(\mathrm{E} \cdot \mathrm{P}-)_{\mathrm{I}}=\mathrm{E}_{2}-\mathrm{E}_{1}=10.2 \times 4=40.8 \,\mathrm{eV}$

For $\mathrm{Li}^{+2}(\mathrm{SE})_{\mathrm{m}}=\mathrm{E}_{\infty}-\mathrm{E}_{4}=0.85 \times 9=7.65\, \mathrm{eV}$

For $\mathrm{H}(\mathrm{E} \cdot \mathrm{P} \cdot)_{\mathrm{rv}}=\mathrm{E}_{4}-\mathrm{E}_{1}=12.75 \,\mathrm{eV}$

For $\mathrm{Be}^{3+}(\mathrm{IP}-)=13.6 \times 16=217.6 \,\mathrm{eV}$

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