Atomic Structure Question 406

Question: The energy of electron in first energy level is - $ 21.79\times {10^{-12}} $ erg per atom. The energy of electron in second energy level is:

Options:

A) $ -54.47\times {10^{-12}}ergato{m^{-1}} $

B) $ -5.447\times {10^{-12}}ergato{m^{-1}} $

C) $ -0.5447\times {10^{-12}}ergato{m^{-1}} $

D) $ -0.05447\times {10^{-12}}ergato{m^{-1}} $

Show Answer

Answer:

Correct Answer: B

Solution:

  • If we assume the atom to be hydrogen like, energy of nth energy level $ E_{n}=-\frac{E_1}{E_2} $ where $ E_1 $ is energy of first energy level $ E_2=-\frac{E_1}{2^{2}}=-\frac{E_1}{4}=\frac{-21.79\times {10^{-12}}}{4} $

$ =-5.447\times {10^{-12}} $ erg per atom.



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