In a hydrogen atom,when an electron transitions from the $4^{th}$ orbit to the $2^{nd}$ orbit,the wave number is $20,397 \, cm^{-1}$. What will be the wave number when an electron in a $He^+$ ion transitions from the $4^{th}$ orbit to the $2^{nd}$ orbit?
- A$5,099 \, cm^{-1}$
- B$20,497 \, cm^{-1}$
- C$40,994 \, cm^{-1}$
- D$81,588 \, cm^{-1}$
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