Atoms And Nuclei Question 61

Question: An ionic atom equivalent to hydrogen atom has wavelength equal to 1/4 of the wavelengths of hydrogen lines. The ion will be [RPET 1997]

Options:

A) $ H{{e}^{+}} $

B) $ L{{i}^{++}} $

C) $ N{{e}^{9+}} $

D) $ N{{a}^{10+}} $

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Answer:

Correct Answer: A

Solution:

$ \bar{\nu }\propto \frac{1}{\lambda }\propto Z^{2}\Rightarrow \lambda Z^{2}= $ constant
$ \Rightarrow \lambda =\frac{\lambda }{4}Z^{2}\Rightarrow Z=2 $



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