Atoms And Nuclei Question 127

Question: When the wave of hydrogen atom comes from infinity into the first orbit then the value of wave number is [RPET 2003]

Options:

A) 109700 $ cm^{-1}$

B) 1097 $ cm^{-1}$

C) 109 $ cm^{-1}$

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

Wave number $ \bar{\nu }=\frac{1}{\lambda }=R,[ \frac{1}{n_{1}^{2}}-\frac{1}{n_{2}^{2}} ];$

$n_{2}=\infty $

and $ n_{1}=1 $
$ \Rightarrow \bar{\nu }=R=1.097\times 10^{7}{{m}^{-1}}=109700\ c{{m}^{-1}} $



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