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Very large, hot stars—much hotter than our sun—can be identified by the way in which He+ions in their atmosphere absorb light. What are the three longest wavelengths, in nm, in the Balmer series of He+?

Short Answer

Expert verified

There are three wave lengths that are the longest are

λ3→2=164.1nmλ4→2=121.6nmλ5→2=108.5nm

Step by step solution

01

Given information

Atomic hydrogen in the Balmer series. When an electron in a hydrogen atom transitions from the n = 3 or larger orbital to the n = 2 orbital, these lines are emitted.

02

Step 2: 

The Balmer series is a collection of quantum transitions from the nth level (n>2) to the m=2 state.

λ0=91.18nmZ2

We have, Z=2since He+and transition wavelengths from (38.40)

λn→m=λ01m2−1n2

That is,

λ3→2=164.1nmλ4→2=121.6nmλ5→2=108.5nm

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