Atoms And Nuclei Question 425

Question: According to Bohr’s theory the radius of electron in an orbit described by principal quantum number n and atomic number Z is proportional to

Options:

A) $ Z^{2}n^{2} $

B) $ \frac{Z^{2}}{n^{2}} $

C) $ \frac{Z^{2}}{n} $

D) $ \frac{n^{2}}{Z} $

Show Answer

Answer:

Correct Answer: D

Solution:

  • $ r=\frac{{\varepsilon_{0}}n^{2}h^{2}}{\pi Zme^{2}};\ \ \therefore r\propto \frac{n^{2}}{Z} $


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