This mass spectrometer shown in the figure is separating two copper isotopes in a beam of doubly-ionized copper: Cu-63, with an atomic mass of 62.93 u, Cu-65, with an atomic mass of 64.93 u. The magnetic field, B, in both the steering region and velocity selector, was set to a strength of 21 mT, and the electric field between the plates of the velocity selector was set at 1.2 kV/m. (a) At what speed do the Cu ions enter the steering region? m/s V = r = (c) Calculate the "turning radius" of each isotope. Cu-63: r = Cu-65: r = m I m I I I I (b) Write a symbolic expression for the ions' turning radius, r, in terms of E, B, and the mass-to-charge ratio, m/q. + + +
This mass spectrometer shown in the figure is separating two copper isotopes in a beam of doubly-ionized copper: Cu-63, with an atomic mass of 62.93 u, Cu-65, with an atomic mass of 64.93 u. The magnetic field, B, in both the steering region and velocity selector, was set to a strength of 21 mT, and the electric field between the plates of the velocity selector was set at 1.2 kV/m. (a) At what speed do the Cu ions enter the steering region? m/s V = r = (c) Calculate the "turning radius" of each isotope. Cu-63: r = Cu-65: r = m I m I I I I (b) Write a symbolic expression for the ions' turning radius, r, in terms of E, B, and the mass-to-charge ratio, m/q. + + +
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Transcribed Image Text:This mass spectrometer shown in the figure is separating two
copper isotopes in a beam of doubly-ionized copper:
Cu-63, with an atomic mass of 62.93 u,
Cu-65, with an atomic mass of 64.93 u.
The magnetic field, B, in both the steering region and velocity
selector, was set to a strength of 21 mT, and the electric field
between the plates of the velocity selector was set at 1.2 kV/m.
(a) At what speed do the Cu ions enter the steering region?
m/s
V =
r =
(c) Calculate the "turning radius" of each isotope.
Cu-63: r =
Cu-65: r =
m
I
m
I
I
I
I
(b) Write a symbolic expression for the ions' turning radius, r, in terms of E, B, and the mass-to-charge ratio, m/q.
+
(d) How many ions enter the collector each second if the detected beam current is 5.5 mA?
AN
At
ions/second
+
+
detector
Transcribed Image Text:A thin wire with linear mass density, λ = 0.477 g/cm, is suspended
from lightweight strings in a uniform magnetic field, B = 91.5 mT,
that is oriented perpendicular to the wire as shown in the figure.
The current in the wire is slowly increased until the wire
"levitates" without putting any tension on the strings.
.
●
●
Determine the amount and direction of the current in the wire when the strings go slack.
I = 21.8 x A left
●
•
•
●
B
●
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