Atoms And Nuclei Question 419

Question: The energy of hydrogen atom in its ground state is - 13.6 eV. The energy of the level corresponding to the quantum number n is equal 5 is

Options:

A) - 5.40 eV

B) - 2.72 eV

C) - 0.85 eV

D) - 0.54 eV

Show Answer

Answer:

Correct Answer: D

Solution:

  • $ A=A_{0}{{( \frac{1}{2} )}^{\frac{t}{{T_{1/2}}}}}\Rightarrow \frac{1}{64}={{( \frac{1}{2} )}^{\frac{60}{{T_{1/2}}}}} $
    $ \Rightarrow $ $ E_{5}=\frac{-13.6}{5^{2}}=\frac{-13.6}{25}=-0.54\ eV $


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