Problem 2 An m travels down the x-axis at our favorite v = c. It decays in to two photons. (a) If the photons come out back to back, travelling in the +x and -x directions, what are their energies? (b) If instead one of the photons comes out at angle relative to the x-axis, what is its energy? (Of course you'll want to check that you reproduce the first results when 0 = 0 and 0 = π.) Problem 3 An m starts at rest at x = 0 at time t = 0 and is accelerated to relativistic speeds by a constant force F. (a) Use the concepts of work and impulse, and the familiar relation E² - (pc)² = (mc²)² to find x(t). (b) Taylor expand r(t) about t = 0 to order t4, thereby finding the leading relativistic correction to the nonrelativistic x = 1². 2 m (c) For large times, x(t) approaches the form ct-o. Find the constant ro.

Scanned with CamScanner In a velocity selector, when an electric field of strength E and a magnetic field of strength B were used,particles with energy K and mass M were selected. With the same field E, if we want to select particles with energy 3K and mass M, then the magnetic field used is: Select one: 0.71 B 1.4 B noliill 0.58 B 3.0 B roglel äs 1.73 B Scanned with CamScanner

An electron and an antielectron (each has mass 9.11 x 10-31 kg), each traveling at 0.6c relative to the lab frame, collide head on and annihilate, resulting in the creation of two identical photons which travel away in opposite directions. What is the frequency of each photon?

The peak intensity of the CMBR occurs at a wavelength of 1.1 mm. (a) What is the energy in eV of a 1.1-mm photon? (b) There are approximately 109 photons for each massive particle in deep space. Calculate the energy of 109 such photons. (c) If the average massive particle in space has a mass half that of a proton, what energy would be created byconverting its mass to energy? (d) Does this imply that space is “matter dominated”? Explain briefly.

An particle has rest energy 1672 MeV and mean lifetime 8.2 × 10-¹¹ s. It is created and decays in a particle track detector and leaves a track 22-mm long. What is the total energy of the particle?