Q2 / 160 · TS EAMCET 2021 (06 Aug Shift 2) · Chemistry

The energy (in eV) associated with the electron in the lst orbit of $\mathrm{Li}^{2+}$ is

  • Correct answer
    A
    −122.4
  • B
    -61.15
  • C
    -30.5
  • D
    -244.6

Solution

Energy of an electron in hydrogen like species in $n$th shell is given by $$ E=-13.6 \frac{Z^2}{n^2} \mathrm{eV} $$ where, $Z=$ atomic number $n=$ number of shell For electron in first orbit of $\mathrm{Li}^{2+}$ $$ E_1=-13.6 \times \frac{3^2}{1^2} \mathrm{eV}=-122.4 \mathrm{eV} $$

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

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