![PHYS10121 a) A particle of rest mass m is travelling so that its total energy is 2mc. It collides with a stationary particle of rest mass m to form a new single particle. What is the 2. rest mass of the new particle? 9 marks] b) A photon hits an electron at rest and produces an electron-positron pair according to the reaction γ+ e- e + e-+e+, what is the smallest possible photon energy for this to occur? You may assume that electrons and positrons have equal masses [8 marks) c) A photon rocket uses pure radiation as the propellant. If the initial and final rest masses of the rocket are M, and Mr, show that the final speed v of the rocket, as measured in its initial rest frame, satisfies M, (c+u 8 marks Hint: If the total momentum of all photons emitted from the rocket has magnitude p then the total energy of all those photons is equal to cp.](http://img.homeworklib.com/questions/9698f870-6fd0-11ea-bffe-a9c0cbbfda98.png?x-oss-process=image/resize,w_560)
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PHYS10121 a) A particle of rest mass m is travelling so that its total energy is...
An electron (rest mass me) of energy E makes a head-on collision with a positron (positron...
An electron (rest mass me) of
energy E makes a head-on collision with a positron (positron is
electron’s antiparticle, it has the same mass as electron, but
opposite charge) In collision the two particles annihilate each
other and are replaces by two photons (γ rays) of equal energy,
each traveling at equal angles θ with electron’s direction of
motion. Find 1. The energy of each photon. 2. The momentum p of
each photon. 3. The angle θ.
Problem 3. Electron-positron...
2. Electron-positron annihilation A positron with kinetic energy equal to twice its rest mass energy is incident on an...
2. Electron-positron annihilation A positron with kinetic energy equal to twice its rest mass energy is incident on an electron at rest The positron and electron annihilate creating two photons. One photon goes off at an angle of 30 with respect to the incident positron. Compute the energies of the two photons and find the direction in which the second photon travels
2. Electron-positron annihilation A positron with kinetic energy equal to twice its rest mass energy is incident on...
PHYS101 21 . a) Write down expressions for the total energy, E, and the momentum, p,...
PHYS101 21 . a) Write down expressions for the total energy, E, and the momentum, p, of a particle. Express your answers in terms of the rest mass, m, and velocity, u, of the particle. 4 marks) Using these expressions, show that E2-ap of the momentum. m2ct, where p Ipl is the magnitude (4 marks) b) A photon of frequency v is scattered trough 180° by an electron initially at rest in the laboratory. Show that the frequency of the...
3. A particle of rest mass m moving in the a direction at a speed of...
3. A particle of rest mass m moving in the a direction at a speed of c/3 abruptly decays electromagnetically, yielding two photons. From the perspective of the home frame, the photon moving in the positive r direction is more energetic than the photon moving in the negative r direction - (a) Determine the energies and frequencies of both photons in the rest frame of the decaying particle. -(b) Using Lorentz transformations, determine the energies and frequencies of both photons...
8-14 positron-electron annihilation A positron et of mass m and kinetic energy K is annihilated on...
8-14 positron-electron annihilation A positron et of mass m and kinetic energy K is annihilated on a target containing electrons e(same mass m) practically at rest in the laboratory frame: et(fast) +e-(at rest) → radiation a By considering the collision in the center-of- momentum frame (the frame of reference in which the total momentum of the initial particles is equal to zero), show that it is necessary for at least two gamma rays (rather than one) co result from the...
A system consists of a particle of mass m at rest and a photon of energy...
A system consists of a particle of mass m at rest and a photon of energy E = m. What is the total system mass?
Second part of part c) please! The bit that asks about the particle travelling 75m in...
Second part of part c) please! The bit that asks about the
particle travelling 75m in the laboratory before it decays.
Determine its lifetime in the lab frame and then in its rest
frame.
-+160% are s two postulates of Special Relativity 4 marks) b) Calculate the de Broglie wavelength of an eleetron moving at a speed of 0.70c. The rest mass of an electron is 9.11 x 10-31 kg. 5 mar c) An elementary particle has a total energy...
Special Relativity A photon of energy E collides with a stationary particle of rest mass m0...
Special Relativity A photon of energy E collides with a stationary particle of rest mass m0 and is absorbed. What is the velocity of the resulting composite particle? NOTE: I used consrvation of momentum: p(before) = p(after), therefore p/c (energy of photon) = gamma*m0*v and solved for v. Apparently this is incorrect????
Let's do a little particle physics. Back in the '9os there was a large electron-positron collider...
Particle Physics
Let's do a little particle physics. Back in the '9os there was a large electron-positron collider at CERN in Geneva, Switzerland, called the "Large electron-positron collider," or LEP for short. (This collider was broken down and rebuilt into an even larger one that runs to this day, called the "Large hadron collider" or LHC.) It was LEP that discovered the W and Z bosons, which mediate weak nuclear processes like the beta decay of free neutrons Anyway, near...
A nucleus whose mass is 3.730032 x 10-25 kg undergoes spontaneous "alpha" decay. The original nucleus...
A nucleus whose mass is 3.730032 x 10-25 kg undergoes spontaneous "alpha" decay. The original nucleus disappears and there appear two new particles: a He-4 nucleus of mass 6.640678x10-27 kg (an "alpha particle" consisting of two protons and two neutrons) and a new nucleus of mass 3.663533 x 10-25 kg (note that the new nucleus has less mass than the original nucleus, and it has two fewer protons and two fewer neutrons). In these calculations, it is very important to...
An electron (rest mass me) of
energy E makes a head-on collision with a positron (positron is
electron’s antiparticle, it has the same mass as electron, but
opposite charge) In collision the two particles annihilate each
other and are replaces by two photons (γ rays) of equal energy,
each traveling at equal angles θ with electron’s direction of
motion. Find 1. The energy of each photon. 2. The momentum p of
each photon. 3. The angle θ.
Problem 3. Electron-positron...
2. Electron-positron annihilation A positron with kinetic energy equal to twice its rest mass energy is incident on an electron at rest The positron and electron annihilate creating two photons. One photon goes off at an angle of 30 with respect to the incident positron. Compute the energies of the two photons and find the direction in which the second photon travels
2. Electron-positron annihilation A positron with kinetic energy equal to twice its rest mass energy is incident on...
PHYS101 21 . a) Write down expressions for the total energy, E, and the momentum, p, of a particle. Express your answers in terms of the rest mass, m, and velocity, u, of the particle. 4 marks) Using these expressions, show that E2-ap of the momentum. m2ct, where p Ipl is the magnitude (4 marks) b) A photon of frequency v is scattered trough 180° by an electron initially at rest in the laboratory. Show that the frequency of the...
3. A particle of rest mass m moving in the a direction at a speed of c/3 abruptly decays electromagnetically, yielding two photons. From the perspective of the home frame, the photon moving in the positive r direction is more energetic than the photon moving in the negative r direction - (a) Determine the energies and frequencies of both photons in the rest frame of the decaying particle. -(b) Using Lorentz transformations, determine the energies and frequencies of both photons...
8-14 positron-electron annihilation A positron et of mass m and kinetic energy K is annihilated on a target containing electrons e(same mass m) practically at rest in the laboratory frame: et(fast) +e-(at rest) → radiation a By considering the collision in the center-of- momentum frame (the frame of reference in which the total momentum of the initial particles is equal to zero), show that it is necessary for at least two gamma rays (rather than one) co result from the...
Second part of part c) please! The bit that asks about the
particle travelling 75m in the laboratory before it decays.
Determine its lifetime in the lab frame and then in its rest
frame.
-+160% are s two postulates of Special Relativity 4 marks) b) Calculate the de Broglie wavelength of an eleetron moving at a speed of 0.70c. The rest mass of an electron is 9.11 x 10-31 kg. 5 mar c) An elementary particle has a total energy...
Particle Physics
Let's do a little particle physics. Back in the '9os there was a large electron-positron collider at CERN in Geneva, Switzerland, called the "Large electron-positron collider," or LEP for short. (This collider was broken down and rebuilt into an even larger one that runs to this day, called the "Large hadron collider" or LHC.) It was LEP that discovered the W and Z bosons, which mediate weak nuclear processes like the beta decay of free neutrons Anyway, near...
A nucleus whose mass is 3.730032 x 10-25 kg undergoes spontaneous "alpha" decay. The original nucleus disappears and there appear two new particles: a He-4 nucleus of mass 6.640678x10-27 kg (an "alpha particle" consisting of two protons and two neutrons) and a new nucleus of mass 3.663533 x 10-25 kg (note that the new nucleus has less mass than the original nucleus, and it has two fewer protons and two fewer neutrons). In these calculations, it is very important to...
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