(3) A gamma-ray photon with an energy of 1 GeV collides with a stationary proton. The photon scattersbackwards, opposite the direction it had before the collision. The proton scatters in the direction that thephoton had before the collision.(a) What is the energy of the scattered photon?(b) What is the momentum of the scattered photon?(c) What is the kinetic energy of the scattered proton?(d) What is the momentum of the scattered proton?(e) The Sun generates energy because of nuclear reactions that occur in its core. A sequence of reactionsSthat do this is called the PP I chain (pronounced "p p one chain"). In the PP I chain, four protons fuseinto a helium-4 nucleus and two positrons, since charge is conserved. Also emitted are two neutrinos, sinceangular momentum is conserved. The neutrinos have no charge and negligible mass. Assume all motion inthe PP I chain is non-relativistic, except for the neutrinos. How many MeV of energy does one PP I chaingenerate? Include the energy generated by the positrons annihilating with electrons that must already bein the Sun, since the Sun is electrically neutral. (Look up the masses of a proton, an electron, and ahelium-4 nucleus, which is also called an alpha particle.)(The next page is blank, so you may write your answers there. You may also write answers on this page.)

Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

(3) A gamma-ray photon with an energy of 1 GeV collides with a stationary proton. The photon scatters backwards, opposite the direction it had before the collision. The protou scatters in the direction that the photon had before the collision. (a) What is the energy of the scattered photon? (b) What is the momentum of the scattered photon? (c) What is the kinetic energy of the scattered proton?

(3) A gamma-ray photon with an energy of 1 GeV collides with a stationary proton. The photon scatters backwards, opposite the direction it had before the collision. The protou scatters in the direction that the photon had before the collision. (a) What is the energy of the scattered photon? (b) What is the momentum of the scattered photon? (c) What is the kinetic energy of the scattered proton?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: Suppose that the microwave radiation has a wavelength of 12 cm . How many photons are required to…

A: The mass of the coffee is given by, m=Vρ Here, V is the volume of the coffee and ρ is the density of…

Q: Find the Fourier transform (p) of the following function and plot it: y (x) = 1- |x), |x| 1. 0, A…

A: Fourier transform of the wavefunction is given as: φ(p) = 12πh∫-∞∞exp(-iph)ψ(x)dx Final size of…

Q: Consider the photodisintegration of a deuteron at rest. Use both the conservation of energy and…

A: Given: Consider the photodisintegration of a deuteron at rest. Use both the conservation of energy…

Q: If the mass of the electron neutrino is 2.2 eV/c 2, what is the lowest temperature at which it could…

A: The rest mass energy of a particle is defined as the amount of energy that is stored inside a…

Q: A pion has a rest energy of 135 MeV. A pion moving through the laboratory at v = 0.98c decays into…

A: Given: Rest mass energy of pion, m0c2 = 135 MeV Pion moving through the laboratory at v = 0.98c…

Q: A 2.00-GeV proton hits another 2.00-GeV proton in a head-on collision. (a) Calculate υ, β, p, Κ, and…

A: Given, initially, kinetic energy of both proton is, K=2 GeV And the rest mass energy of proton is,…

Q: At what velocity does a proton have a wavelength of 11.2 fm (about the size of a large nucleus)? Use…

A: wavelength =11.2 fm

Q: true or false: The maximum energy of the ejected electrons is proportional to the intensity of the…

A: Given statement : The maximum energy of the ejected electrons is proportional to the intensity of…

Q: If the mass of the electron neutrino was 10-4 eV/c 2, what is the lowest temperature at which it…

A: All objects possess some energy due to their mass. This energy is known as the particle's rest mass…

Q: An elementary particle of mass M completely absorbs a photon, after which its mass s 1.01M. (a) What…

A: Let, initial mass of particle = M Mass of particle after absorbing Photon = 1.01M

Q: In the photon energy range 2 to 10 keV, X rays coming from the Crab Nebula have an intensity of…

Q: A pulse of laser light leaves Earth and arrives at Sun about 8 minutes later. How can I calculate…

A: A laser pulse leaves the earth and takes 8 mins to arrive at Sun. We need to calculate the invariant…

Q: A neutral pion (r = uu or dd) decays while at rest into two photons (y). mo = 135MeV/c² a) What is…

Q: How might the mass of the particle affect the tracks created by the ionizing radiation? Given…

A: The mass of a particle can have an impact on the tracks created by ionizing radiation. When ionizing…

Q: The Belle 2 experiment at the SuperKEKB accelerator records collisions between electrons with energy…

A: Step 1: Step 2: Step 3: Step 4:

Q: A proton and an antiproton annihilate, producing two photons. Find the energy, frequency, and…

A: Given data: The initial kinetic energy of each of the particle is E∘=620 MeV. Part (a) Apply the…

Q: An electron-positron pair approach each other with identical speeds. The particle-pair collide and…

A: Given, Wavelength,λ=1.9pm=1.9×10-12mPlanck's constant,h=6.626×10-34JsSpeed of light,c=3×108m/sMass…

Q: What is the uncertainty in the energy released in the decay of a π0 due to its short lifetime?

A: According to Heisenberg's uncertainty principle, the formula to calculate the uncertainty in energy…

Q: materi What is the speed (in terms of c) of a 1.00 GeV cosmic ray proton? The rest mass of the…

Q: (a) Prove that the exchange of a virtual particle of mass m can be associated with a force with a…

A: Using the uncertainty relation, Now, the equation for the distance traveled by the particle can be…

Q: Although muons have a half-life of 2.2 µs, physical chemists have been able to construct various…

A: Given data: m = 1.88 ✕ 10−28 kg Need to determine the Bohr radius (in m) of this muonic hydrogen in…

Q: Investigate and explain the "Gyromagnetic ratio", from this calculate the value of the gyromagnetic…

A: We know thatμ=IA=qTπr2

Q: A photon beam (2λ = 1.00 pm) is incident on a sphere with radius 1.00 mm. It has energy 100 MeV. a.…

Q: The π0 is its own antiparticle and decays in the following manner: π0→?+?. What is the energy of…

A: Given: The value of π0 is its own antiparticle and decays value is shown. To determine the energy…

Q: (a) Calculate the amount of microwave energy in joules needed to raise the temperature of 1.00 kg of…

Q: Calculate the wavelength (in Å) of the photon incident on a proton initially at rest if the maximum…

A: We have maximum fractional frequency shift given by Δν/νo=2.29*10-5 and we have a stationary proton…

Q: When an electron and positron annihilate, both their masses are destroyed, creating two equal energy…

A: According to the principle of conservation of momentum, the total momentum of the system must be…

Q: Use energy methods to calculate the distance of closest approach for a head-on collision between an…

Q: A proton and an antiproton collide head-on with equal kinetic energies. Two g rays with wavelengths…

A: Given that, Wavelength = 0.720 fm

Q: In a collision experiment, a proton at rest is struck by an antiproton. (a) What is the minimum…

A: Solution: a) Let us consider proton at rest, antiproton moving: We know that, By the law of…

Q: A 10.0 MeV photon is absorbed by a particle of mass 20.0 MeV. The reaction isγ+x→x.(a.) What is the…

A: from the conservation of energy of the given reaction, Eγ+Exi=Exf10+20MeVc2=ExfExf=30 MeVc2

Q: A photon produces a proton−antiproton pair according to the reaction γ → p +P- . What is the minimum…

A: Given data: The charge of an electron is: q = 1.6×10-19 C The Planck's constant is: h = 6.63 ×…

Q: true or false: The maximum energy of the ejected electrons is proportional to the velocity of the…

A: Given a statement, To state whether it's true / false

Q: true or false: The maximum energy of the ejected electrons varies linearly with the frequency of the…

A: This photoelectric effect we are talking about. With the help of the relation between the kinetic…

Q: The magnitude of the center of mass energy, √s ,determines what reactions can take place. Which has…

Q: A π meson (rest mass 135MeV/c2) moving through the laboratory at a speed of 0.998c decays into two…

A: The pi meson is moving with a velocity of 0.998c. It is moving relativistically. The rest mass…

Q: A D-T pellet is heated by intense laser beams with wavelength of 2 μm. (1) Find the D-T plasma…

A: Given that, Wavelength, λ=2 micro metre λ= 2×10^(–6) m

Concept explainers

Nuclear interactions

In nature, there are certain rules and standards for an interaction. These interactions are universally accepted. There are four types of interactions:

Question

(3) A gamma-ray photon with an energy of 1 GeV collides with a stationary proton. The photon scatters
backwards, opposite the direction it had before the collision. The proton scatters in the direction that the
photon had before the collision.
(a) What is the energy of the scattered photon?
(b) What is the momentum of the scattered photon?
(c) What is the kinetic energy of the scattered proton?
(d) What is the momentum of the scattered proton?
(e) The Sun generates energy because of nuclear reactions that occur in its core. A sequence of reactionsS
that do this is called the PP I chain (pronounced "p p one chain"). In the PP I chain, four protons fuse
into a helium-4 nucleus and two positrons, since charge is conserved. Also emitted are two neutrinos, since
angular momentum is conserved. The neutrinos have no charge and negligible mass. Assume all motion in
the PP I chain is non-relativistic, except for the neutrinos. How many MeV of energy does one PP I chain
generate? Include the energy generated by the positrons annihilating with electrons that must already be
in the Sun, since the Sun is electrically neutral. (Look up the masses of a proton, an electron, and a
helium-4 nucleus, which is also called an alpha particle.)
(The next page is blank, so you may write your answers there. You may also write answers on this page.)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Trending now

This is a popular solution!

Step by step

Solved in 6 steps with 6 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

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

A lithium ion Lit++ (Z = 3, A = 6g/mol) with incident kinetic energy EK = 7.5MEV is scattered on a gold nucleus (Z = 79, A = 197g/mol) through an angle of 10°. Assume that the mass of the lithium ion is much smaller than the mass of the gold nucleus. Please answer the following questions: %3D (a) Calculate the impact parameter b; (b) Calculate the closest approach rmin-
Under the right circumstances, a photon of high enough energy can give rise to an electron-positron pair. What minimum energy photon is required?
If the mass of the electron neutrino is 2.2 eV/c2, what is the lowest temperature at which it could be formed from thermal interactions? What if its mass is 10-4 eV?
If pair production of muon-antimuon pair can occur for photons of wavelength = 5.85 x 10-15m or less, what is the mass of a muon?
An ultra high energy electron (ß ≈ 1) emits a photon. (a) Derive an expression to express the emission angle 0 in the lab system in terms of 0*, the angle of emission in the rest frame of the electron. Also, (b) Show that half of the photons are emitted within a cone of half angle 01/y.
An antiproton has the same mass and rest energy (938.3 MeV) as a proton, but has a negative change -e instead of the positive charge +e of the proton. A proton and an antiproton, initially far apart, move toward each other with the same speed and collide head-on, annihilating each other and producing two photons. Find the energies and wavelengths of the photons if the initial kinetic energies of the proton and antiproton are (a) both negligible and (b) both 545 MeV.
Show that the pairing effect cannot hold for a free photon without the presence of an atomic nucleus. Help: try to solve the relativistic equations of conservation of momentum and energy assuming that if the interaction occurs
+ A positron with laboratory energy 50 GeV interacts with the atomic electrons in a lead target to produce µμ¯ pairs. If the cross-section for this process is given by o = 4ла² ħ²²/3(ECM)², calculate the positron's interaction length. The density of lead is p = 1.14 × 104 kg m¯ -3
Suppose that a muon neutrino and a muon antineutrino, both of which are just barely moving, encounter each other in space and completely annihilate to form two photons of equal energy. In view of the uncertainty about the mass of the muon neutrino (< 0.180 MeV/c²), what is the shortest wavelength Ao of light that could be emitted by the annihilation? Would the light be visible to the human eye? yes O no λο = m
A proton and an antiproton collide head-on with equal kinetic energies. Two y rays with wavelengths of 0.720 fm are produced. Calculate the kinetic energy of the incident proton.