NEET Solved Paper 2016 Question 38

Question: Given the value of Rydberg constant is $ 10^{7}{m^{-1}}, $ the wave number of the last line of the Balmer series in hydrogen spectrum will be :-

Options:

A) $ 0.025\times 10^{4}m^{1} $

B) $ 0.5\times 10^{7}m^{1} $

C) $ 0.25\times 10^{7}m^{1} $

D) $ 2.5\times 10^{7}m^{1} $

Show Answer

Answer:

Correct Answer: C

Solution:

  • $ \frac{1}{\lambda }=RZ^{2}( \frac{1}{n_2^{2}}-\frac{1}{n_1^{2}} )=10^{7}\times 1^{2}( \frac{1}{2^{2}}-\frac{1}{{{\infty }^{2}}} ) $
    $ \Rightarrow $ wave number $ =\frac{1}{\lambda }=0.25\times 10^{7}{m^{-1}} $


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