Physics for Scientists and Engineers
Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 12, Problem 53P
To determine

To Show: Δrr=12ΔLL

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Beams of electrons and protons, both traveling at almost the speed of light collide. The electrons and protons are in bunches 2 cm in length in two rings of 300 m circumference, each of which contains one bunch. Each bunch contains 3 × 1011 particles, and the circulating frequency is 106/ sec for each beam, so that 106 bunches collide with each other per second. Assume that the particles are distributed uniformly over a cross sectional area of 0.2 mm2 and that this is also the area of the intersecting collision region.(a) Determine the luminosity.(b) If the cross section for collisions is 10 µb, determine the number ofscattering events that would be observed in a counter totally surroundingthe intersection region.(c) Find the average flux of electrons.(d) If the beam of electrons scatters from a stationary target of liquid hydrogen (density ≈ 0.1 g/cm3) 2 cm long, rather than with the circulatingproton beam, find the number of scattering events and compare to theanswer of (b)?
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