9. Tau leptons are fundamental particles with a mass of 1777 MeV/c² and a mean lifetime of 2.903 x 10-13 s (as measured in the rest frame of the tau lepton). Imagine that a tau lepton is produced in a high energy collision, such that it has a kinetic energy of 6125 MeV as measured in the laboratory. Assuming that it survives for one mean lifetime in its own reference frame, what distance does its decay occur from the point where it was produced as measured in the laboratory (i.e. how far does it travel in the laboratory before decaying)?

9. Tau leptons are fundamental particles with a mass of 1777 MeV/c² and a mean lifetime of 2.903 x 10-13 s (as measured in the rest frame of the tau lepton). Imagine that a tau lepton is produced in a high energy collision, such that it has a kinetic energy of 6125 MeV as measured in the laboratory. Assuming that it survives for one mean lifetime in its own reference frame, what distance does its decay occur from the point where it was produced as measured in the laboratory (i.e. how far does it travel in the laboratory before decaying)?

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: object with a rest mass of 13722.4 MeV/c2 is moving with a B(beta) of 0.496. What is the…

A: Here we use relativistic mechanics

Q: A particle has a mass of 1.6E-27 kg and it travels at a speed of 0.872c, where c is the speed of…

Q: Two π+ mesons are created. One is created at rest in the laboratory, and one moving at v = (4/5)c. c…

A: Given : Let us say that π1 is created at rest in the laboratory frame and π2 is the one which is…

Q: A beau real pi meson is a particle that can be created by accelerator beams. If one such particle…

A: Step:1 . π Meson is a particle that can be created by accelerator beams. . One such particle lives…

Q: In the nuclear fission of a 238U nucleus, "fast" neutrons are emitted with a speed of 0.6497c.…

Q: 2. particle has a momentum of 400 MeV/c and kinetic energy of 100 MeV. Determine its mass in MeV/c2,…

Q: The mass of the fuel in a nuclear reactor decreases by an observable amount as it puts out energy.…

A: As per the theory of relativity, mass can be created directly from energy and energy directly from…

Q: An unstable particle with a mass equal to 3.34 x 10-27 kg is initially at rest. The particle decays…

Q: 1. A supertrain of proper length 210 m travels at a speed of 0.86c as it passes through a tunnel…

A: Given data:Proper length of train, Lo= 210 m Speed of supertrain, v = 0.86 cAn observer at rest in…

Q: 6. A particle has a kinetic energy equal one and a half times its rest mass energy. What is the…

Q: An object with a rest mass of 12420.5 MeV/c2 is moving with a β of 0.406. What is the relativistic…

A: An object with a rest mass of 12420.5 MeV/c2 is moving with a β of 0.406

Q: What is the rest energy (in MeV) of an atom with an mass of 8.94 u.

Q: What is the rest energy of a positive kaon, given its mass is 8.80 ✕ 10−28 kg? Give your answer in…

Q: Particle Decay: Aº pion decays via the processº → +1, emit- ting one photon in the forward direction…

A: The decay of pion is π0→γ1+γ2 The rest mass energy of π0 is mπ=135 MeV/c2. The momentum of the…

Q: T55. Consider a subatomic particle for which the mean lifetime is 480 ns in its rest frame. If it…

Q: A supernova explosion of a 1.25 × 1031 kg star produces 1.9 × 1044 J of energy. Randomized…

Q: The average lifetime of a pi meson in its own frame of reference (i.e., the proper lifetime) is 2.6…

A: Given Data: Average life time of pi meson (∆t) = 2.6×10-8 s.Speed of the pi meson (v) = 0.93c. To…

Q: An experimenter has studied the decay of a K° particle in which it emits a pion at 0.8c. One such K°…

Q: High-energy particles are observed in laboratories by photographing the tracks they leave in certain…

Q: What is the rest energy (in joules) of a subatomic particle whose (rest) mass is 6.7×10−31 kg? How…

A: Rest mass m0=6.7×10^-31 kg Rest mass energy E=m0C2 C=3×10^8 m/s

Q: Suppose that you have found a way to convert the rest energy of any type of matter directly to…

Q: When protons accelerated to speeds very close to csmash into the nucleus of a target atom in a…

A: Given: ∆t =1.8 ns ∆t=1.8×10-8 seconds…

Q: While in flight, an unstable particle decays into three pions (rest mass 140 MeV/c²) according to…

Q: Chapter 37, Problem 045 In a high-energy collision between a cosmic-ray particle and a particle near…

Q: A kaon with a speed 0.8c in the laboratory decays into two pions, one positively charged and the…

Q: Determine the rest energy (in MeV) for a neutron with mass 1.675×10-27 kg.

Question

9. Tau leptons are fundamental particles with a mass of 1777 MeV/c² and a mean lifetime
of 2.903 x 10-¹3 s (as measured in the rest frame of the tau lepton). Imagine that a
tau lepton is produced in a high energy collision, such that it has a kinetic energy
of 6125 MeV as measured in the laboratory. Assuming that it survives for one mean
lifetime in its own reference frame, what distance does its decay occur from the point
where it was produced as measured in the laboratory (i.e. how far does it travel in the
laboratory before decaying)?

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1: Given Information

VIEW

Step 2: Calculating Gamma

VIEW

Step 3: Speed In The Lab Frame

VIEW

Step 4: Lifetime in Lab Frame

VIEW

Step 5: Distance Travelled in Lab Frame

VIEW

Step by step

Solved in 5 steps with 5 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

Derive an expression for E using the attached equation (Lorentz Force Law), and calculate a predicted value for E in N/C if a particle had v = 40 m/s, q = -0.001 C, m = 0.3 ⨉ 10 -3 kg, and B = 0.6 T.
Suppose that you have found a way to convert the rest energy of any type of matter directly to usable energy with an efficiency of 49.0%49.0%. How many liters of water would be sufficient fuel to very slowly push the Moon 3.30 mm3.30 mm away from the Earth? The density of water is ?water=1.00kg/literρwater=1.00kg/liter, the Earth's mass is ?earth=5.97×1024 kgMearth=5.97×1024 kg, the Moon's mass is ?moon=7.36×1022 kgMmoon=7.36×1022 kg, and the separation of the Earth and Moon is ?E,M=3.84×108 mdE,M=3.84×108 m.
measured by this observer to be 10 times longer than its lifetime when at rest relative to the observer? 3. The lifetime of a free neutron is 886 s. If a neutron moves with a speed of 2.9 x 108m/s relative to an observer in the lab, what does the observer measure the neutron's lifetime to be? 4. A computer in a laboratory requires 2.50 us to make a certain calcu- lation, as measured by a scientist in the lab. To someone moving past the lab at a relative speed of 0.995c, how long will the same cal- culation take? 5. The formula for length contraction gives the length of an interval on a ruler moving with velocity v relative to an observer as V1-v²/c² times the length of the same interval on a ruler at rest with respect to the observer. By what fraction is the length of a meter stick reduced if its velocity relative to you is measured to be 95 percent the speed of light? 6. If an electron is speeding down the two-mile-long Stanford Linear Accelerator at 99.98 percent the speed of light,…
MASS OF A PROTON: 1.007825 U; MASS OF A NEUTRON: 1.008665 U 10.. What are the four fundamental Forces (interactions) - Describe their interactions and ranges.
41. It is desired to create a particle of mass 9700 MeV/c- in a head-on collision between a proton and an antiproton (each having a mass of 938.3 MeV/c²) traveling at the same speed. What speed is necessary for this to occur? 1² to an we Tithin
12. (a) A particle is traveling through the Earth's atmosphere at a speed of 0.750c. To an earth bound observer, the distance it travels is 2.5km. How far does the particle travel in the particle's frame of reference? (b) Calculate the momentum of an electron traveling at a speed 0.985c? The rest mass of the electron is 9.11 X 10-31 kg.
Question 25 MeV C2 MeV C A pion's rest mass is 139.6 Pions with a momentum 200.0 are produced at the TRIUMF cyclotron in Vancouver. What is their speed? (Hint: to solve this problem, let the speed of the pions be x-c where x <1, and solve for x) A. 0.421 c B 0.820 c C. 0291 c D.0.766 c E. 0.156 c
Suppose that two identical particles with rest mass m and non-zero velocities and respectively in the Lab frame collide to form a single particle with rest mass M. Which one of the following statements is correct? Select one: O a. None of the other answers is correct. O b. Mis equal to the sum of the rest masses of the original particles. O c. Mis less than the sum of the original rest masses. O d. Mis greater than the sum of the original rest masses.
28. A neutron lives 900 s when at rest relative to an observer. How fast is the neutron moving relative to an observer who measures its life span to be 2065 s?