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?
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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.
Chapter 26 Solutions
Physics for Scientists and Engineers
Ch. 26 - Prob. 1PCh. 26 - Prob. 2PCh. 26 - Prob. 3PCh. 26 - Prob. 4PCh. 26 - Prob. 5PCh. 26 - Prob. 6PCh. 26 - Prob. 7PCh. 26 - Prob. 8PCh. 26 - Prob. 9PCh. 26 - Prob. 10P
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- Check Your Understanding A cyclotron is to be designed to accelerate protons to kinetic energies of 20 Mev using a magnetic field of 2.0 T. What is the required radius of the cyclotron?arrow_forwardCalculate the cyclotron frequency of an electron in a magnetic field of magnitude 5.20 T in rad/sarrow_forwardWhat is the period of revolution of alpha particles in a cyclotron with a radius of 0.50 meters, if it is known that the mass of particles is m = 6.64*10−27kg, and their charge is q = 3.2*10−19C? Consider the magnetic field created in the cyclotron equal to 1.8 T. Also calculate the value of their maximum kinetic energy.arrow_forward
- At the Fermilab accelerator in Weston, Illinois, singly charged ions with momentum 3.3 × 10−16 kg m/s are held in a circular orbit of radius 1.00 km by an upward magnetic field. What B field must be used to maintain the ions in this orbit? (qion = 1.60 × 10−19 C)arrow_forwardA proton synchrotron accelerates protons to a kinetic energy of 500 GeV. At this energy, calculate (a) the Lorentz factor, (b) the speed parameter, and (c) the magnetic field for which the proton orbit has a radius of curvature of 750 m.arrow_forwardcan u please solve these quastions on paper with explanationarrow_forward
- A negative charge, q = -7.2 nC follows a circular path due to the force caused by the magnetic field. If the magnetic field, B = 4.1 T causes charge to follow a radius of r = 3.2 µm, how fast (v = ?), in m/s, does the charge move? The mass of the charge is 5.56 x 10^-22 kg. Disregard any effects caused by special relativity.arrow_forwardAny two-dimensional metric satisfiesR_λρµν = R/2 (g_λµ g_ρν − g_λν g_ρµ).Show that the vacuum Einstein equations (with zero cosmological constant) are satisfied for any2D metric.arrow_forward
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