Atoms And Nuclei Question 52
Question: The wavelength of the first line of Balmer series is $ 6563\ {AA} $ . The Rydberg constant for hydrogen is about [MP PMT/PET 1998]
Options:
A) $ 1.09\times 10^{7}per\ m $
B) $ 1.09\times 10^{8}per\ m $
C) $ 1.09\times 10^{9}per\ m $
D) $ 1.09\times 10^{5}per\ m $
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Answer:
Correct Answer: A
Solution:
$ \frac{1}{\lambda }=R[ \frac{1}{4}-\frac{1}{9} ]=\frac{5R}{36} $
$ \therefore R=\frac{36}{5\lambda }=\frac{36}{5\times 6563\times {{10}^{-10}}}=1.09\times 10^{7}{{m}^{-1}} $
