Universe: Stars And Galaxies
Universe: Stars And Galaxies
6th Edition
ISBN: 9781319115098
Author: Roger Freedman, Robert Geller, William J. Kaufmann
Publisher: W. H. Freeman
bartleby

Concept explainers

Question
Book Icon
Chapter 26, Problem 24Q
To determine

(a)

The rest mass energy of the Boson (W).

Expert Solution
Check Mark

Answer to Problem 24Q

The rest mass energy of the Boson (W) is 80.3GeV.

Explanation of Solution

Given:

The mass of the intermediate Boson is m=85.6(mass of proton).

Formula used:

The expression of the energy is given by,

E=mc2

Here, E is the energy, m is the mass and c is the speed of the light.

Calculation:

The mass of the intermediate boson is calculated as,

m=85.6(mass of proton)=85.6(1.67× 10 27kg)=1.43×1025kg

The rest mass energy of the Boson (W) is calculated as,

E=mc2=(1.43× 10 25kg)(3× 10 8m/s)2=1.286×108J

Convert the energy in GeV as,

E=1.286×108J=(1.286× 10 8J× 1GeV 1.602× 10 10 J)=80.3GeV

Conclusion:

The rest mass energy of the Boson (W) is 80.3GeV.

To determine

(b)

The threshold temperature for the W+ and W.

Expert Solution
Check Mark

Answer to Problem 24Q

The threshold temperature for W+ and W is 9.31×1014K.

Explanation of Solution

Formula used:

The expression for the relation of energy and temperature is given by,

T=Ek

Here, E is the energy and k is the Boltzmann constant.

Calculation:

The threshold temperature for W+ and W is calculated as,

T=Ek=80.3GeV1.38× 10 23J/K=( 80.3GeV× 1.60× 10 10 J 1GeV )1.38× 10 23J/K=9.31×1014K

Conclusion:

The threshold temperature for W+ and W is 9.31×1014K.

To determine

(c)

The time taken by W+ and W to disappear from universe after the big bang.

Expert Solution
Check Mark

Answer to Problem 24Q

The time taken by W+ and W to disappear from universe after the big bang is 1012s.

Explanation of Solution

Introduction:

After the big bang, the temperature of the initial universe tends to decreases. All the forces and particles were bound together in the initial universe, but after the decrement in the temperature the particles got separated.

The figure showing the change in the energy of the particles and the temperature of the universe with respect to time from the big bang is shown below:

Universe: Stars And Galaxies, Chapter 26, Problem 24Q

Figure (1)

The time taken from the big bang for W+ and W to disappear corresponding to 80.3GeV of energy and 9.31×1014K of temperature is observed as 1012s.

Conclusion:

Therefore, the time taken by W+ and W to disappear from the universe after the big bang is 1012s.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
= Consider a proton that is incident on a target proton (at rest). What is the threshold energy needed to produce a Higg's Boson. Use the following estimates of the masses: mp 1 [GeV] and mµ = 125 [GeV]. The Higgs boson will eventually decay into leptons and protons (a particle physicist will tell you that the Higgs boson will decay through different channels). The threshold energy is the minimum energy needed for all these processes (channels) to be observed as confirmed in 2012 at the Large Hadron Collider (LHC).
both questions please
Edwin Hubble observed that the light from very distant galaxies was redshifted and that the farther away a galaxy was, the greater its redshift. What does this say about very distant galaxies?   When Hubble first estimated the Hubble constant, galaxy distances were still very uncertain, and he got a value for H of about 600 km/s per Mpc. What would this have implied about the age of the universe? What problems would this have presented for cosmologists?
Knowledge Booster
Background pattern image
Physics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
Text book image
College Physics
Physics
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:OpenStax College
Text book image
Inquiry into Physics
Physics
ISBN:9781337515863
Author:Ostdiek
Publisher:Cengage
Text book image
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Text book image
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Text book image
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax