Mass Spectrograph. A mass spectrograph is used to measure the masses of ions, or to separate ions of different masses (see Section 27.5). In one design for such an instrument, ions with mass m and charge q are accelerated through a potential differ- ence V. They then enter a uniform magnetic field that is perpen- dicular to their velocity, and they are deflected in a semicircular path of radius R. A detector measures where the ions complete the semicircle and from this it is easy to calculate R. (a) Derive the equation for calculating the mass of the ion from measurements 27.60

Mass Spectrograph. A mass spectrograph is used to measure the masses of ions, or to separate ions of different masses (see Section 27.5). In one design for such an instrument, ions with mass m and charge q are accelerated through a potential differ- ence V. They then enter a uniform magnetic field that is perpen- dicular to their velocity, and they are deflected in a semicircular path of radius R. A detector measures where the ions complete the semicircle and from this it is easy to calculate R. (a) Derive the equation for calculating the mass of the ion from measurements 27.60

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Magnetic Field Of Coaxial Cable

The word coaxial means same axis. So for a long straight cable to be coaxial, it must have concentric cylindrical shaped conductor around it. Coaxial cable (popularly called ‘coax’) has various applications ranging from current conductors to radiofrequency signal transmitters. This cable has lower emission losses and provides protection from electromagnetic interference which allows signals with less power to transmit over longer distances.For example, currents produced in the pickup of a stereo turntable generally travel to the amplifier through a coaxial cable.The self-inductance of a coaxial cable is another important characteristic, because it influences the propagation of electrical signals in the cable.

Question

27.60
Mass Spectrograph. A mass spectrograph is used to
measure the masses of ions, or to separate ions of different masses
(see Section 27.5). In one design for such an instrument, ions with
mass m and charge q are accelerated through a potential differ-
ence V. They then enter a uniform magnetic field that is perpen-
dicular to their velocity, and they are deflected in a semicircular
path of radius R. A detector measures where the ions complete the
semicircle and from this it is easy to calculate R. (a) Derive the
equation for calculating the mass of the ion from measurements
of B, V, R, and q. (b) What potential difference V is needed so
that singly ionized 12C atoms will have R = 50.0 cm in a 0.150-T
magnetic field? (c) Suppose the beam consists of a mixture of 12C
and 14C ions. If v and B have the same values as in part (b), cal-
culate the separation of these two isotopes at the detector. Do you
think that this beam separation is sufficient for the two ions to be
distinguished? (Make the assumption described in Problem 27.59
for the masses of the ions.)

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