BuyFindarrow_forward

College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000

Solutions

Chapter
Section
BuyFindarrow_forward

College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
Textbook Problem

Integrated Concepts

Calculate the velocity of a star moving relative to the earth if you observe a wavelength of 91.0 nm for ionized hydrogen capturing an electron directly into the lowest orbital (that is, a n i = to n f = 1 , or a Lyman series transition).

To determine

The velocity of a star moving relative to the earth

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:

The wavelength and energy is related as follows:

  λ=hcΔE

Where λ= Wavelength

  h= Planck's Constant

  c= speed of light

  ΔE= energy change for the transition

Observed wavelength is calculated as

  λObserved=λ1+uc1uc

Where, u= Velocity of object

  c= Speed of light

Calculation:

Energy change is calculated as

  ΔE=EfEi

  ΔE=(Z2nf2Eo)(Z2ni2Eo)

We have, Eo=13.6eV , ni= and nf=1

Substituting the values, we have

  ΔE=(122Eo)(1212Eo)

  ΔE=0(1212(13.6eV))

  ΔE=13.6eV

Thus, wavelength is calculated as

  λ=hcΔE

  λ=1.24×103eV.nm13

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

Additional Science Solutions

Find more solutions based on key concepts

Show solutions add

Recognizing a nutrition authority that you can consult for reliable nutrition information can be difficult beca...

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

To which spectral classes do the stars in Problem 4 belong?

Horizons: Exploring the Universe (MindTap Course List)

A sphere of radius R surrounds a particle with charge Q located at its center as shown in Figure P23.43. Find t...

Physics for Scientists and Engineers, Technology Update (No access codes included)