MCQ
The energy of the electron in the first orbit of $H{e^ + }$ 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
(c) ${E_{1\,\,H{e^ + }}} = {E_{1\,\,H}} \times {z^2}$

$ - 871.6 \times {10^{ - 20}} = {E_{1H}} \times 4$

${E_{1\,\,H}} = - 217.9 \times {10^{ - 20}}J$

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