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- A linear particle accelerator using beta particles collides electrons with their anti-matter counterparts, positrons. The accelerated electron hits the stationary positron with a velocity of 98 x 106 m/s, causing the two particles to annihilate.If two gamma photons are created as a result, calculate the energy of each of these two photons, giving your answer in MeV (mega electron volts), accurate to 1 decimal place. Take the mass of the electron to be 5.486 x 10-4 u, or 9.109 x 10-31 kg.Note: Assume that the kinetic energy is also converted into the gamma rays, and is included in the two photons.A linear particle accelerator using beta particles collides electrons with their anti-matter counterparts, positrons. The accelerated electron hits the stationary positron with a velocity of 29 x 106 m/s, causing the two particles to annihilate.If two gamma photons are created as a result, calculate the energy of each of these two photons, giving your answer in MeV (mega electron volts), accurate to 1 decimal place. Take the mass of the electron to be 5.486 x 10-4 u, or 9.109 x 10-31 kg.Mass of a proton: 1.007825 u; Mass of a neutron: 1.008665 u 1 The lifetime of a free neutron is 887 s. If a neutron moves with a speed 2.9 × 108 m/s relative to an observer in the lab, what does the observer measure the neutron's lifetime to be? What is this an example of? 2. (a) What is the rest energy (in joules) of a subatomic particle whose (rest) mass is 6.7 x 10-3¹ kg? (b) How many MeV's of energy is this? 3. The rest energy of a particular subatomic particle is 1200 MeV. If this particle is traveling at 90% the speed of light, what is its total relativistic energy?
- find the energy distribution function P(E) for a classical non-relativistic ideal gas, such that P(E) is the density of atoms with energy between E and E+dE.You have a machine that produces a beam of π(pi) mesons moving at a speed of 0.9938c. In your lab, you aim this beam at a target that is 278.70 m away from your machine. The half‑life for π(pi) meson decays is 26.0 ns. Calculate the time it takes in ns, in the lab frame, for particles to travel from your machine to the target. Find the classically expected fraction of particles that would reach the target without having decayed. Find the time it takes, in the rest frame of the particles, for a particle to travel from the machine to the target.if the particle function is : ikex -X ча 4 = ( 1 ) 4 2πTa find th expected value of momentum p e e 2
- A certain X-ray machine generates X-rays from a beam of electrons accelerated from zero to 99.9999999 per cent the speed of light in a long linear accelerator of length 3.2 km. The electrons are generated in pulses of duration ∆t = 100 fs. The generated x-rays from the target are also short pulses (λ = 0.15 nm). What is the average power of the x-ray beam if it pulses 120 times per second and one x-ray pulse contains about a trillion photons (n = 1012). a) 16.0 W b) 1.6 W c) 0.16 W d) none of these.Albert Einstein is pondering how to write his (soonto-be-famous) equation. He knows that energy E is a function of mass m and the speed of light c, but he doesn't know the functional relationship (E = m2c? E = mc4?). Pretend that Albert knows nothing about dimensional analysis, but since you are taking a fluid mechanics class, you help Albert come up with his equation. Use the step-by-step method of repeating variables to generate a dimensionless relationship between these parameters, showing all of your work. Compare this to Einstein's famous equation—does dimensional analysis give you the correct form of the equation?A pion is an unstable sub-atomic particle commonly produced in high-energy physics experiments. What is the speed of a pion if its average lifetime is measured to be 44.0 ns? At rest, its average lifetime is 26.0 ns.
- If a particle is in a stationary state, does that mean that the particle is not moving? If a particle moves in empty space with constant momentum p → and hence constant energy E = p2/2m, is it in a stationary state? Explain your answers.a) In the rest frame of an electron, an incident y-ray with an energy of 0.25 MeV interacts with the electron. Following the collision, the y-ray has a final energy of 0.1 MeV. What is the angle between the y-ray's initial direction and its final direction? Explain how this type of scattering differs from the classical prediction.An Ω- particle has rest energy 1672 MeV and mean lifetime 8.2x10-11 s. It is created and decays in a particle track detector and leaves a track 24 mm long. What is the total energy of the Ω- particle?
