Chapter 38: Q. 12.64 (page 1116)

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

$\begin{aligned} λ_{3 \to 2} = 164 .1 nm \\ λ_{4 \to 2} = 121 .6 nm \\ λ_{5 \to 2} = 108 .5 nm \end{aligned}$

Step by step solution

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.

Step 2:

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

$λ_{0} = \frac{91 .18 nm}{Z^{2}}$

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

$λ_{n \to m} = \frac{λ_{0}}{\frac{1}{m^{2}} - \frac{1}{n^{2}}}$

That is,

$\begin{aligned} λ_{3 \to 2} = 164 .1 nm \\ λ_{4 \to 2} = 121 .6 nm \\ λ_{5 \to 2} = 108 .5 nm \end{aligned}$

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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

Step by step solution

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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

Step by step solution

Given information

Step 2:

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Fluids

Dynamics

Radiation

Particle Model of Matter

Force

Geometrical and Physical Optics

Study anywhere. Anytime. Across all devices.

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 ${He}^{+}$ ?