Atoms And Nuclei Question 141

Question: If the energy of a hydrogen atom in nth orbit is $ E_{n} $ , then energy in the nth orbit of a singley ionized helium atom will be [BHU 2004]

Options:

A) $ 4E_{n} $

B) $ E_{n}/4 $

C) $ 2E_{n} $

D) $ E_{n}/2 $

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Answer:

Correct Answer: A

Solution:

$ E_{n}\propto Z^{2} $

Þ $ \frac{{(E_n)}_He}{{(E_n)}_H}=\frac{Z_He^{2}}{Z_H^{2}}=4 $

Þ $ {{(E_n)}_He}=4\times {{(E_n)}_H} $



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