Atoms And Nuclei Question 140

Question: An electron changes its position from orbit $ n=4 $ to the orbit $ n=2 $ of an atom. The wavelength of the emitted radiation’s is (R = Rydberg’s constant) [BHU 2004]

Options:

A) $ \frac{16}{R} $

B) $ \frac{16}{3R} $

C) $ \frac{16}{5R} $

D) $ \frac{16}{7R} $

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Answer:

Correct Answer: B

Solution:

$ \frac{1}{\lambda }=R[ \frac{1}{n_{1}^{2}}-\frac{1}{n_{2}^{2}} ]=R[ \frac{1}{{{(2)}^{2}}}-\frac{1}{{{(4)}^{2}}} ] $
Þ $ \lambda =\frac{16}{3R} $



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