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2. structure of atom — Chemistry STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceChemistry2. structure of atom1 Mark
MCQ
The energy of the electron in the first orbit of $He^+$ is $-871.6 \times 10^{-20}\, J$. The energy of the electron in the first orbit of hydrogen would be
  • A
    $ - 871.6 \times {10^{ - 20}}\,J$
  • B
    $ - 435.8 \times {10^{ - 20}}\,J$
  • ✓
    $ - 217.9 \times {10^{ - 20}}\,J$
  • D
    $ - 108.9 \times {10^{ - 20}}\,J$
✓

Answer

Correct option: C.
$ - 217.9 \times {10^{ - 20}}\,J$
c
Energy is directly proportional to the square of atomic number.

$\frac{E_{H}}{E_{H e+}}=\frac{Z_{H}^{2}}{Z_{H e+}^{2}}$

$E_{H}=\frac{Z_{H}^{2}}{Z_{H e+}^{2}} \times E_{H e+}$

$E_{H}=\frac{1^{2}}{2^{2}} \times-871.6 \times 10^{-20} J$

$E_{H}=\frac{1^{2}}{2^{2}} \times-871.6 \times 10^{-20} J$

$E_{H}=-217.9 \times 10^{-20} J$

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