Atoms And Nuclei Question 115
Question: The ratio of the wavelengths for 2 $\rightarrow$ 1 transition in $Li^{++}$, $He^+$ and H is [UPSEAT 2003]
Options:
A) 1 : 2 : 3
B) 1 : 4 : 9
C) 4 : 9 : 36
D) 3 : 2 : 1
Show Answer
Answer:
Correct Answer: C
Solution:
$ \frac{1}{\lambda }=RZ^{2}( \frac{1}{n_{1}^{2}}-\frac{1}{n_{2}^{2}} )\Rightarrow \lambda \propto \frac{1}{Z^{2}} $ $ {\lambda_{L{{i}^{++}}}}:{\lambda_{H{{e}^{+}}}}:{\lambda_{H}}=4:9:36 $