   Chapter 30, Problem 66PE

Chapter
Section
Textbook Problem

Integrated ConceptsA pulsar is a rapidly spinning remnant of a supernova. It rotates on its axis, sweeping hydrogen along with it so that hydrogen on one side moves toward us as fast as 50.0 km/s, while that on the other side moves away as fast as 50.0 km/s. This means that the EM radiation we receive will be Doppler shifted over a range of ± 50.0 km/s. What range of wavelengths will we observe for the 91.20-nm line in the Lyman series of hydrogen? (Such line broadening is observed and actually provides part of the evidence for rapid rotation.)

To determine

What range of wavelengths will we observe for the 91.20nm line in the Lyman series of hydrogen?

Explanation

Given Data:

Given that a star is moving relative to the earth. Also, one observe a wavelength of 91nm for ionized hydrogen capturing an electron directly into the lowest orbital (which is ni= to nf=1 )

Formula Used:

Observed wavelength is calculated as

λObserved=λ1+uc1uc

Where, u= Velocity of object

c= Speed of light

Calculation:

When star is moving towards us

Observed wavelength is calculated as

λObserved=λ1+uc1uc

We have, λ=91.20nm , u=50×103m/s and c=2.99×108m/s

λObserved=91.20nm1+ 50× 10 3 m/s 2.99× 10 8 m/s1 50× 10 3 m/s 2

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

How is advection related to this system?

Fundamentals of Physical Geography

Name the following molecular compounds a ClF4 b CS2 c PF3 d SF6

General Chemistry - Standalone book (MindTap Course List)

What is the only C5 compound in the citric acid cycles?

Introduction to General, Organic and Biochemistry 