High-energy particles are observed in laboratories by photographingthe tracks they leave in certain detectors; the length of the trackdepends on the speed of the particle and its lifetime.A particle moving at 0.96 c leaves a track 5.2 mm long. What is the properlifetime of the particle?
Q: pion
A:
Q: How fast must an object be going if its rest length is 2.1 times as long as its observed length?
A: Given: The rest length of the object is 2.1 times of the observed length.
Q: alled a kaon is created by cosmic radiation striking the atmosphere. Randomized Variables c =…
A: Givenc = 0.965 c t = 1.4 × 10-8 s
Q: A particle has a lifetime of 500 ns. If the particle has a velocity of 0.75c, how long does it live
A: As per the theory of special relativity time dilation is the slowing of time for an observer who is…
Q: The mean lifetime of pi mesons (pions) is 26 ns. A beam of pions is travelling at 0.93c. As measured…
A:
Q: In the nuclear fission of a 238U nucleus, "fast" neutrons are emitted with a speed of 0.6497c.…
A:
Q: Suppose a particle called a kaon is created by cosmic radiation striking the atmosphere. Randomized…
A:
Q: A proton moves with a speed if .90c. what is the rest energy in MeV
A:
Q: 2. particle has a momentum of 400 MeV/c and kinetic energy of 100 MeV. Determine its mass in MeV/c2,…
A:
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…
A:
Q: Find the speed v at which one electron will have the same total relativistic energy as n electrons…
A: Speed of one electron is v. The total relativistic energy is given by , E=γmc2 where γ=…
Q: If the mass of the spaceship (including the astronauts) is m = 10^4 kg, %3D what would be its rest…
A: Given: Rest mass, m0=104 kg Require: Rest mass energy, E=?
Q: A proton has a kinetic energy of 128MeV What is the speed of this electron? (as a fraction of c)
A: Protonkinetic energy (KE)=128 MeV
Q: A neutral pion 77 (rest energy = 135.0 MeV) produced in a high-energy particle experiment moves at a…
A:
Q: A new particle, the joelon, has just been discovered! Careful measurements show that the joelon has…
A:
Q: After being produced, a neutral pion must travel down a tube that is 100 m long to the experimental…
A: Given, The length of the tube, L=100m The lifetime of pion, So, the minimum speed is given by,
Q: A particle made up of 2 protons and 2 neutrons has a rest energy of 6 X 10-10 J. What would be the…
A: According to question we need to find rest energy of 1 proton and 1 neutron.
Q: An experimenter has studied the decay of a K° particle in which it emits a pion at 0.8c. One such K°…
A:
Q: High-energy particles are observed in laboratories by photographing the tracks they leave in certain…
A:
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: Cosmic ray muons are produced high in the atmosphere (at 8000 m, say) and travel toward the earth at…
A:
Q: What is the momentum of the alpha particle that is moving at 0.5c. with mass equal to 7.0*10-27 kg
A: Momentum of any particle is given by product of it's mass and speed. Momentum is generally…
Q: High-energy particles are observed in laboratories by photographingthe tracks they leave in certain…
A: In the theory of special relativity, time is considered relative and the measured time will depend…
Q: A particle is found to have a lifetime of 30 ms. It is found moving at a speed of 0.999c. How long…
A: As per the theory of special relativity time measured in a moving frame will be slower than the time…
Q: Derive an expression for E using the attached equation (Lorentz Force Law), and calculate a…
A: Given data: The Lorentz force is, F=q(E+v×B). velocity is, v=40 m/s. Magnitude of charge is,…
Q: Six identical particles have a speed 2m/s except for the last ( which is the seventh) particle which…
A:
Q: 6. A particle has a speed of 96% of the speed of light and a mass of 1u. The particle is unstable…
A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…
Step by step
Solved in 3 steps
- 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,…A particle has a mass of 6.4E-27kg and a momentum of 3.5E-18 kg.m/s. Determine the energy of that particle in GeV (1GeV=1E9 eV). Keep three significant digits.The wow expert Hand written solution is not allowed.
- An alpha particle has a mass of 6.4E-27kg is propagating at relativistic speeds and has an energy of 6.48GeV (so 6.48E9 eV) What is the speed of the particle, expressed in units of c, c being the speed of light. Keep three significant digits.A particle's dynamics are considered "relativistic" when its velocity is a significant fraction of the speed of light. For example, the mass of a moving particle seen by a stationary observer increases in proportion to the square root of 1/(1 - (v/c)2). For typical speeds in the everyday world it is not noticeable, but take a fast moving fundamental particle and you may have apparent mass increases or changes in its lifetime as a consequence of time dilation. Look at this factor for the electron you measured at 100 V in the glass globe. Pick the best answer. The effect is less than 0.1 %. The effect is around 1%. The effect is around 10%. The effect is a factor of 2 change in mass.Consider a proton moving with speed = 0.94 c. (c is the speed of light.) What is the kinetic energy, in MeV? (in MeV) OA: 1160 OB: 1449 OC: 1812 OD: 2265 OE: 2831 OF: 3539 OG: 4423 OH: 5529
- When pions are brought to rest their lifetime is 1.77´10-8 s. A beam of pions is produced in an accelerator and moves at a speed of 0.99c relative to the laboratory. After moving 39 m as measured in the la, half the pions have decayed. a) from the viewpoint of an observer in the lab frame and b) from an observer at rest in the frame of the moving pions that the two numerical results given in the problem for the half-life of the pions are consistent.Suppose a cosmic ray colliding with a nucleus in the Earth's upper atmosphere produces a muon that has speed v = 0.99c. The muon then travels at constant speed and lives 1.5 μs as measured in the muon's frame of reference. (You can imagine this as the muon's internal clock.)Randomized Variablesv = 0.99 ct = 1.5 μs Part (a) How many kilometers does the muon travel according to an Earth-bound observer? Part (b) How many kilometers of the Earth pass by as viewed by an observer moving with the muon? Base your calculation on its speed relative to the Earth and its lifetime (proper time).Particle track detectors are used to measure the speed of particles if the lifetime of the particle is known. Particle X has a lifetime of 256.2 ps. These particles are created in an experiment inside the detector by a given reaction. The particles leave 21.6 cm long tracks on average before they decay into other particles not observable by the detector.What is the average speed of the particles in terms of the speed of light?
- The mean lifetime of mesons (pions) is 26 ns. A beam of pions is travelling at 0.93c. As measured in the laboratory: a) What is their mean lifetime? b) How far would they travel before they decay?Particle physicists use particle track detectors to deter- mine the lifetime of short-lived particles. A muon has a mean lifetime of 2.2 µs and makes a track 9.5 cm long before decaying into an electron and two neutri- nos. What was the speed of the muon?A proton has an energy of 1 TeV. How fast is the proton moving? For simplicity, take mc² = 1 GeV.