Atomic Structure Question 421

Question: The energy of $ {e^{-}} $ in first orbit of $ H{e^{+}} $ is $ -871.6\times {10^{-20}}J. $ The energy of $ {e^{-}} $ in first orbit of H is:

Options:

A) $ -871.6\times {10^{-20}} $

B) $ -435.8\times {10^{-20}}J $

C) $ -217.9\times {10^{-20}}J $

D) $ -108.9\times {10^{-20}} $

Show Answer

Answer:

Correct Answer: C

Solution:

  • $ {E_{1_{He}}}+={E_{1_{H}}}\times Z^{2} $
    $ \therefore -871.6\times {10^{-20}}={E_l} _{H}\times 4 $
    $ \therefore {E_l} _{H}=-217.9\times {10^{-20}}J $


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