Please solve this question A particle of mass m is trapped in the region 0

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Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter44: Particle Physics And Cosmology

Section: Chapter Questions

Problem 13P

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A muon formed high in Earth's atmosphere travels toward Earth at a speed v = 0.990c for a distance of 4.60 km as measured by an observer at rest with respect to Earth. It then decays into an electron, a neutrino, and an antineutrino. (a) How long does the muon survive according to an observer at rest on Earth? (b) Compute the gamma factor associated with the muon. (c) How much time passes according to an observer traveling with the muon? (d) What distance does the muon travel according to an observer traveling with the muon? (e) A third observer traveling toward the muon at c/2 measures the lifetime of the particle. According to this observer, is the muons lifetime shorter or longer than the lifetime measured by the observer at rest with respect to Earth? Explain.
Suppose you are designing a proton decay experiment and you can detect 50 percent of the proton decays in a tank of water. (a) How many kilograms of water would you need to see one decay per month, assuming a lifetime of 1031 y? (b) How many cubic meters of water is this? (c) If the actual lifetime is 1033 y, how long would you have to wait on an average to see a single proton decay?
(a) Verify from its quark composition that the particle could be an excited state of the proton. (b) There is a spread of about 100 MeV in the decay energy of the interpreted as uncertainty due to its short lifetime. What is its approximate lifetime? (c) Does its decay proceed via the strong or weak force?
A positron is an antimatter version of the electron, having exactly the same mass. When a positron and an electron meet, they annihilate, converting all of their mass into energy. (a) Find the energy released, assuming negligible kinetic energy before the annihilation. (b) If this energy is given to a proton in the form of kinetic energy, what is its velocity? (c) If this energy is given to another electron in the form of kinetic energy, what is its velocity?
= A particle of mass m and charge q is in a room that is affected by a constant magnetic field with vector B B2 as well as a constant gravitational field with vector g=-gŷ. Particles are initially held at rest, until one day they are released and fall under the influence of gravity. The fall of the particle certainly causes the particle to have a number of speeds, and this of course causes the particle to experience Lorentz forces at the same time as the gravitational force that affects the particle. Due to the influence of the Lorentz force, the particle will experience a bend so that there is a condition where the particle no longer has the velocity component ŷ and begins to move upward, say this state occurs at the lowest point of the particle's path. a) Determine the velocity of the particle at its lowest point. b) Same as part a), only if initially the particle is thrown downward with initial velocity u Kindly answer these questions. TIA
Page No. Date Thys 101-02 If a Fourth particle of mass 2.00kis Placed at X= 9 Y= O.200m Find the X- and the C.g. Coordingtes oF SHOT ON MI9T Al TRIPLE CAMERA
Helpful information: (1) An alpha particle is a helium nucleus, (2) e = 1.6 × 10-¹⁹ C, (3) k = 9.0 × 10⁹ Nm² C-2, (4) 1nm = 1 × 10-⁹ m 1-An alpha particle lies on the x-axis, a distance of 1.0 nanometer from a proton (in this set-up, the alpha particle is at the origin while the proton is in the positive direction). Which of the following choices below represents the magnitude of the electric force on the alpha particle? (a) 2.3 × 10-10 N (b) 4.6 × 10-¹0 N (c) 2.3 × 10-19 N (d) 4.6 × 10-19 N eplacing the voltage sou the following inst choices below time != 1.00 37 instantaneous current
What is β for a particle with (a) K = 5.29 E0 and (b) E = 5.29 E0?
Suppose a cyclotron is operated at an oscillator frequency of 12 MHz ( MegaHertz) and has a radius of R=53 cm. A deuteron, an isotope of hydrogen, consisting of a proton and a neutron and therefore having the same charge as a proton is to be accelerated in the cyclotron. Its mass, m=3.24 x10-27 kg. What is the resulting kinetic energy of the deuteron? Explain in not less than 3 sentences.
Helpful information: (1) An alpha particle is a helium nucleus, (2) e = 1.6 × 10-¹⁹ C, (3) k₂ = 9.0 × 10⁹ Nm² C-2, (4) 1nm = 1 × 10-⁹ m 1-An alpha particle lies on the x-axis, a distance of 1.0 nanometer from a proton (in this set-up, the alpha particle is at the origin while the proton is in the positive direction). Which of the following choices below represents the magnitude of the electric force on the alpha particle? (a) 2.3 × 10-10 N (b) 4.6 × 10-10 N (c) 2.3 x 10-19 N (d) 4.6 x 10-19 N cing the voltage so following insta choices below at a time! 1.00 s?
The range of the nuclear strong force is believed to be about 1.2 x 10-15 m. An early theory of nuclear physics proposed that the particle that “mediates” the strong force (similar to the photon mediating the electromagnetic force) is the pion. Assume that the pion moves at the speed of light in the nucleus, and calculate the time ∆t it takes to travel between nucleons. Assume that the distance between nucleons is also about 1.2 x 10-15 m. Use this time ∆t to calculate the energy ∆E for which energy conservation is violated during the time ∆t. This ∆E has been used to estimate the mass of the pion. What value do you determine for the mass? Compare this value with the measured value of 135 MeV/c2 for the neutral pion.
An electron-positron collider runs with symmetric beam energies of E(e^+) = E(e^−) = 102 GeV.At each orbit ∆E = 2.2 GeV has to be replaced for each beam particle by the accelerating units.The accelerator has 24 units available; each unit can replace an energy of ∆E = 100 MeV perorbit. a). The researchers want to create the Standard-Model Higgs boson but don’t know its massyet. Argue why the production rate via the direct process e +e− → H is negligible and name the process which can be used instead. Draw a Feynman diagram of this process. State the mechanism responsible for the energy loss and state how the energy loss per orbit scales with the beam energy. b). Name two possible final states of this process and how they can be detected in a modernparticle detector, which consists of a tracker, an EM calorimeter, a hadronic calorimeterand a muon system in radial direction. Calculate the maximum mass of the Higgs Boson, which the experiment can create c). When no Higgs is found in the…

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