Atomic Structure Question 419

Question: Find the value of wave number $ ~( \overline{v} ) $ in terms of Rydberg’s constant, when transition of electron takes place between two levels of $ H{e^{+}} $ ion whose sum is 4 and difference is 2.

Options:

A) $ \frac{8R}{9} $

B) $ \frac{32R}{9} $

C) $ \frac{3R}{9} $

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

  • $ n_1+n_2=4;n_2-n_1=2;\therefore n_1=l,n_2=3 $

$ \overline{v}=R{{(2)}^{2}}[ \frac{1}{1^{2}}-\frac{1}{3^{2}} ]=\frac{32R}{9} $



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