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1. (a) In Bob 's reference frame, a particle has a momentum p= pd along the...
Lorentz transformations a) A photon with energy Eph in a reference frame S moves at an...
Lorentz transformations a) A photon with energy Eph in a reference frame S moves at an angle θ with respect to the y axis, in the x-y plane (i.e., its propagation vector is ˆk = (sin θ, cos θ, 0)). Write out the photon’s momentum four-vector p μ ph in frame S.
2) Lorentz transformations a) A photon with energy Eph in a reference frame S moves at...
2) Lorentz transformations a) A photon with energy Eph in a reference frame S moves at an angle 8 with respect to the y axis, in the x-y plane (i.e., its propagation vector is k = (sin 0, cos 6,0)). Write out the photon's momentum four-vector pph in frame S. b) Write out the 4x4 matrix that describes a Lorentz boost into a frame (S') that moves with velocity v (corresponding to Lorentz factory in the y direction of frame...
A reference frame S' moves with a constant speed v=0.800c along the x axis relative to...
A reference frame S' moves with a constant speed v=0.800c along the x axis relative to a second reference frame S. A particle is observed from reference frame S' to be moving with velocity 0.400c (along the positive x' axis). What would be the velocity of the particle as measured by an observer in reference frame S?
a) A photon with energy Eph in a reference frame S moves at an angle 0...
a) A photon with energy Eph in a reference frame S moves at an angle 0 with respect to the y axis, in the x-y plane (i.e., its propagation vector is  = (sin 0, cos 0, 0)). Write out the photon's momentum four-vector pph in frame S. b) Write out the 4x4 matrix that describes a Lorentz boost into a frame (S') that moves with velocity v (corresponding to Lorentz factor v) in the y direction of frame S....
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...
Question 5 [12 10 22 marks] (a) In a given inertial reference frame, S', consider a...
Question 5 [12 10 22 marks] (a) In a given inertial reference frame, S', consider a region of space where there is a uniform and constant electric field, E', and zero magnetic field, i.e. B' = 0. The frame S' moves with respect to an observer, in another frame S, with velocity v. Write an expression for the electric field, E, observed in S? Clearly explain any notation (i) and new quantities introduced Write an expression for the magnetic field,...
this is one question but with multiple choice questions, sorry. Problem 1 You're in a spaceship...
this is one question but with multiple choice questions,
sorry.
Problem 1 You're in a spaceship in deep space. Your engines are off, and you're far away from any reference points. a) You release a small ball from rest. The ball remains floating at rest in the same position where you released it. What kind of reference frame are you in? Is there any way to tell if you are moving at all? Let's designate your reference frame as S,...
1) A particle has a 4-momentum of [2266, 1813, -1133, 453] kg-m-s with respect to the...
1) A particle has a 4-momentum of [2266, 1813, -1133, 453] kg-m-s with respect to the Home frame a) What are the components of the particle's velocity, [vx, Vy, vz], in m/s? b) What is the particle's mass, in kg? c) W J? d) Calculate the particle's 4-momentum in an Other frame traveling with a relative velocity of u 0.9c hat are the particle's total energy and kinetic energy, in
A team discovered an m-mass tetron, an 8-quark particle decaying into four identical muons in a symmetrical tetrahedral pattern. The tetron is stationary until it decays. The four daughter muons...
A team discovered an m-mass tetron, an 8-quark particle decaying into four identical muons in a symmetrical tetrahedral pattern. The tetron is stationary until it decays. The four daughter muons carry the same total energy and have a resting mass of 0.149M 1). M, determine the magnitude of the energy E and the momentum p0 meson. Conservation laws may at least partially apply to this problem. 2). suppose that the four muons of relativistic momentum decayed by the doppler are:...
PHYS10121 a) A particle of rest mass m is travelling so that its total energy is...
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...
2) Lorentz transformations a) A photon with energy Eph in a reference frame S moves at an angle 8 with respect to the y axis, in the x-y plane (i.e., its propagation vector is k = (sin 0, cos 6,0)). Write out the photon's momentum four-vector pph in frame S. b) Write out the 4x4 matrix that describes a Lorentz boost into a frame (S') that moves with velocity v (corresponding to Lorentz factory in the y direction of frame...
A reference frame S' moves with a constant speed v=0.800c along the x axis relative to a second reference frame S. A particle is observed from reference frame S' to be moving with velocity 0.400c (along the positive x' axis). What would be the velocity of the particle as measured by an observer in reference frame S?
a) A photon with energy Eph in a reference frame S moves at an angle 0 with respect to the y axis, in the x-y plane (i.e., its propagation vector is  = (sin 0, cos 0, 0)). Write out the photon's momentum four-vector pph in frame S. b) Write out the 4x4 matrix that describes a Lorentz boost into a frame (S') that moves with velocity v (corresponding to Lorentz factor v) in the y direction of frame S....
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...
Question 5 [12 10 22 marks] (a) In a given inertial reference frame, S', consider a region of space where there is a uniform and constant electric field, E', and zero magnetic field, i.e. B' = 0. The frame S' moves with respect to an observer, in another frame S, with velocity v. Write an expression for the electric field, E, observed in S? Clearly explain any notation (i) and new quantities introduced Write an expression for the magnetic field,...
this is one question but with multiple choice questions,
sorry.
Problem 1 You're in a spaceship in deep space. Your engines are off, and you're far away from any reference points. a) You release a small ball from rest. The ball remains floating at rest in the same position where you released it. What kind of reference frame are you in? Is there any way to tell if you are moving at all? Let's designate your reference frame as S,...
1) A particle has a 4-momentum of [2266, 1813, -1133, 453] kg-m-s with respect to the Home frame a) What are the components of the particle's velocity, [vx, Vy, vz], in m/s? b) What is the particle's mass, in kg? c) W J? d) Calculate the particle's 4-momentum in an Other frame traveling with a relative velocity of u 0.9c hat are the particle's total energy and kinetic energy, in
A team discovered an m-mass tetron, an 8-quark particle decaying into four identical muons in a symmetrical tetrahedral pattern. The tetron is stationary until it decays. The four daughter muons carry the same total energy and have a resting mass of 0.149M 1). M, determine the magnitude of the energy E and the momentum p0 meson. Conservation laws may at least partially apply to this problem. 2). suppose that the four muons of relativistic momentum decayed by the doppler are:...
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...
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