Atoms And Nuclei Question 314

Question: One of the lines in the emission spectrum of $ L{{i}^{2+}} $ has the same wavelength as that of the Ist line of Lyman series in hydrogen spectrum. The electronic transition corresponding to this line is $ n=6\to 3=x $ Find the value of x.

Options:

A) 8

B) 3

C) 7

D) 5

Show Answer

Answer:

Correct Answer: B

Solution:

  • For Ist line of Lyman series in hydrogen spectrum $ \frac{1}{\lambda }=R( 1 )( \frac{1}{1^{2}}-\frac{1}{2^{2}} )=\frac{3}{4}R $ For $ L{{i}^{+}}[ \frac{1}{\lambda }=R\times 9( \frac{1}{3^{2}}-\frac{1}{6^{2}} )=\frac{3R}{4} ] $ Which is satisfied by $ n=6\to n=3. $


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