At time t=0s, there are unstable pions. What fraction of pions decay after travelling a distance of 25 m? Assume the pions travelling at 0.86c and their average lifetime is 20.0 ns. Select the correct answer choice: (a) 85.9% (b) 91.6% (c) 99.2% (d) 89.2%
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- If a muon at rest decays into an electron and two neutrinos, what is the total kinetic energy of the decay products? Assume that the neutrinos have zero rest mass. Express your answer in millions of electron volts to four significant figures.The average lifetime of a pi meson in its own frame of reference (i.e., the proper lifetime) is 2.6 10-8 s. (a) If the meson moves with a speed of 0.94c, what is its mean lifetime as measured by an observer on Earth? (b) What is the average distance it travels before decaying, as measured by an observer on Earth? (c) What distance would it travel if time dilation did not occur?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.
- Determine which of the following decays or reactions is not allowed and explain why. (a) p + p → p + π++Λ+-K0 (b) Λ → p + π0Name: Hubble Distances Redshift z parameter The relativistic redshift is parametrized by z and given by Δ In terms of the scale factor, 2= X do - de de 1+z= ao a (2) Problem 01. Find the redshift z for a Hydrogen spectral line originally at 656 nm which has been observed at a wavelength of 1.64 μm. Astro 001 Fall 2022 Problem 02. How much smaller was the universe when this light was emitted? U₁ = DHO Using the redshift to measure the velocity, we find D~ (1) 0.1 Hubble's Law Hubble's Law states that the recession velocity of a redshifted galaxy is given by the product of the distance and the Hubble constant. (3) ZC Ho where c = 3 x 108 m/s and Ho = 2.3 x 10-18 s in standard units. The standard measurement of the Hubble constant is Ho = 71 (km/s)/Mpc. Problem 03. What is the distance in Mpc and ly to the galaxy measured in problem 01? 1 pc = 3.26 ly.5. A) Explain the special relativistic expression for energy E=mc^2. B) What is the connection with the nonrelativistic expression for the kinetic energy E= 1/2mv^2? C) Discuss the generation of energy by the unclear processes of fission and fusion.
- 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 ca) A K° meson (mass 497.61 MeV/c2) decays to a t, T pair with a mean lifetime of 0.89 x 10-10 s. Suppose the K° has a kinetic energy of 276 MeV when it decays, and that the two A mesons emerge at equal angles to the original K° direction. Calculate the kinetic energy of each T meson and the opening angle between them. The mass of a 7 meson is 139.57 MeV/c2.