Physics for Scientists and Engineers
Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 26, Problem 46P
To determine

The proof that radius of orbit in cyclotron is proportional to square root of number of orbits completed.

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Given the following massspectrometer schematic, find theB-field such that the radius of theparticle’s trajectory is 0.194 m. Assume the particle is an electronwith mass 2.36 x 10-26 kg, and beginsits trajectory in an E-field of 2.1 x103 V/m.
3.4 Synchronous orbit* Find the radius of the orbit of a synchronous satellite that circles the Earth. (A synchronous satellite goes around the Earth once ev-ery 24 h, so that its position appears stationary with respect to a ground station.) The simplest way to find the answer and give your results is by expressing all distances in terms of the Earth's radius R,.
CY-1 A cyclotron has an outer radius Rwith a magnetic field B=25.0T. An alternating potential difference of 150,000V exists between the D's. Protons (q=+1.60x10-19C, m=1.673x10-27kg) are injected into the cyclotron near the center with a very low speed. d) By how many eV does the kinetic energy of the proton increase per revolution? e) Find N the number of revolutions needed for B the proton to reach Ekf. f) Use any equation from part a) to find the symbolicexpression for the period T - the time for one revolution of the proton. g) Find the numerical value of T.

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