produces singly- doubly-ionize particles, both of which are accelerated (from rest) by an accelerating voltage, VA = 7.97 kV. The ions, which have the same mass, then enter a uniform magnetic field, B = 21.3 mT, as they pass between the plates of a charged capacitor with voltage, Vp = 165 V, and plate separation, d = 5.12 cm. One of the ions passes straight through and hits the center of he screen, while the other is deflected a vertical distance, Ay, after traveling the length, Ax = 1.2 m, of the capacitor plates.
produces singly- doubly-ionize particles, both of which are accelerated (from rest) by an accelerating voltage, VA = 7.97 kV. The ions, which have the same mass, then enter a uniform magnetic field, B = 21.3 mT, as they pass between the plates of a charged capacitor with voltage, Vp = 165 V, and plate separation, d = 5.12 cm. One of the ions passes straight through and hits the center of he screen, while the other is deflected a vertical distance, Ay, after traveling the length, Ax = 1.2 m, of the capacitor plates.
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Question
![An ion source produces singly-ionized and doubly-ionized
particles, both of which are accelerated (from rest) by an
accelerating voltage, VA = 7.97 kV. The ions, which have the
same mass, then enter a uniform magnetic field, B = 21.3 mT,
as they pass between the plates of a charged capacitor with
voltage, Vp = 165 V, and plate separation, d = 5.12 cm.
One of the ions passes straight through and hits the center of
the screen, while the other is deflected a vertical distance, Ay,
after traveling the length, Ax = 1.2 m, of the capacitor plates.
m
(a) Write a symbolic expression for the charge-to-mass ratio of the ions that are NOT deflected,
in terms of VA, Vp, d, B, Ay, and Ax, as needed, then calculate its numeric value.
=
(c) How far are these ions deflected?
Ay =
lon
Source
C/kg
cm
Hot Cathode (-)
(b) What can you conclude about the charge-to-mass ratio of the ions that are deflected?
9
C/kg
m
Anode (+)
ion beam
Evacuated Glass Tuber
B
x
X
ΔΧ
Ду
- Screen
+
P
0-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc9cc212e-530e-418e-a717-3da751b9b16b%2F8ec64010-b0c3-4231-9009-b8cc76caa3a0%2F7oyui4j_processed.png&w=3840&q=75)
Transcribed Image Text:An ion source produces singly-ionized and doubly-ionized
particles, both of which are accelerated (from rest) by an
accelerating voltage, VA = 7.97 kV. The ions, which have the
same mass, then enter a uniform magnetic field, B = 21.3 mT,
as they pass between the plates of a charged capacitor with
voltage, Vp = 165 V, and plate separation, d = 5.12 cm.
One of the ions passes straight through and hits the center of
the screen, while the other is deflected a vertical distance, Ay,
after traveling the length, Ax = 1.2 m, of the capacitor plates.
m
(a) Write a symbolic expression for the charge-to-mass ratio of the ions that are NOT deflected,
in terms of VA, Vp, d, B, Ay, and Ax, as needed, then calculate its numeric value.
=
(c) How far are these ions deflected?
Ay =
lon
Source
C/kg
cm
Hot Cathode (-)
(b) What can you conclude about the charge-to-mass ratio of the ions that are deflected?
9
C/kg
m
Anode (+)
ion beam
Evacuated Glass Tuber
B
x
X
ΔΧ
Ду
- Screen
+
P
0-
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