Particle accelerators and detectors -MCQ. Question 1 The sketch below shows a one-dimensional potential for an electron. The potential is symmetric about.

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Particle accelerators and detectors -MCQ

Question 1 The sketch below shows a one-dimensional potential for an electron. The potential is symmetric about the V-axis. Which of the following statements correctly describes the ground state of the system with one electron present? (A) A single electron must be localized in one well. (B) The ground state will accommodate up to four electrons. (C) The kinetic energy of the ground state will be one-half its potential energy. (D) The wave function of the ground state will be antisymmetric with respect to the V-axis. (E) The wave function of the ground state will be symmetric with respect to the V-axis. ACDBENEXT

Question 2 A second electron is now added to the system. If the electrons do not interact, which of the following statements is correct? (A) The second electron must be localized in the well not previously occupied. (B) In the ground state of the system, each of the two electrons will have the same spatial wave function. (C) In the ground state of the system, one electron will be in a spatially symmetric state and one will be in a spatially antisymmetric state. (D) The second electron will not be bound. (E) Pair annihilation will occur. ACDBENEXT

Question 3 A particle with rest mass m and momentum mc/2 collides with a particle of the same rest mass that is initially at rest. After the collision, the original two particles have disappeared. Two other particles, each with rest mass m’, are observed to leave the region of the collision at equal angles of 30° with respect to the direction of the original moving particle, as shown below. What is the speed of the original moving particle? (A) c/5 (B) c/3 (C) c/ √7 (D) c/ √5 (E) c/2 ACDBENEXT

Question 4 A particle with rest mass m and momentum mc/2 collides with a particle of the same rest mass that is initially at rest. After the collision, the original two particles have disappeared. Two other particles, each with rest mass m’, are observed to leave the region of the collision at equal angles of 30° with respect to the direction of the original moving particle, as shown below. What is the momentum of each of the two particles produced by the collision? (A) mc/5 (B) mc/2√ 3 (C) mc/ √5 (D) mc/2 (E) mc/√ 3. ACDBENEXT

Question 5 The nonconservation of parity in the decay p +  µ + + v can be verified by measuring the (A) Q-value of the decay (B) Longitudinal polarization of the + (C) Longitudinal polarization of the π + (D) Angular correlation between the µ + and the v (E) Time dependence of the decay process ACDBE

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Question 1 Which of the following statements correctly describes the ground state of the system with one electron present? (A) A single electron must be localized in one well. (B) The ground state will accommodate up to four electrons. (C) The kinetic energy of the ground state will be one- half its potential energy. (D) The wave function of the ground state will be antisymmetric with respect to the V-axis. (E) The wave function of the ground state will be symmetric with respect to the V-axis. ACDBENEXT

Question 2 A second electron is now added to the system. If the electrons do not interact, which of the following statements is correct? (A) The second electron must be localized in the well not previously occupied. (B) In the ground state of the system, each of the two electrons will have the same spatial wave function. (C) In the ground state of the system, one electron will be in a spatially symmetric state and one will be in a spatially antisymmetric state. (D) The second electron will not be bound. (E) Pair annihilation will occur. ACDBENEXT

Question 3 A particle with rest mass m and momentum mc/2 collides with a particle of the same rest mass that is initially at rest. After the collision, the original two particles have disappeared. Two other particles, each with rest mass m’, are observed to leave the region of the collision at equal angles of 30° with respect to the direction of the original moving particle, as shown below. What is the speed of the original moving particle? (A) c/5 (B) c/3 (C) c/ √7 (D) c/ √5 (E) c/2 ACDBENEXT

Question 4 A particle with rest mass m and momentum mc/2 collides with a particle of the same rest mass that is initially at rest. After the collision, the original two particles have disappeared. Two other particles, each with rest mass m’, are observed to leave the region of the collision at equal angles of 30° with respect to the direction of the original moving particle, as shown below. What is the momentum of each of the two particles produced by the collision? (A) mc/5 (B) mc/2√ 3 (C) mc/ √5 (D) mc/2 (E) mc/√ 3. ACDBENEXT

Question 5 The nonconservation of parity in the decay p +  µ + + v can be verified by measuring the (A) Q-value of the decay (B) Longitudinal polarization of the + (C) Longitudinal polarization of the π + (D) Angular correlation between the µ + and the v (E) Time dependence of the decay process ACDBE