Singly-ionized particles with mass, m = 3.34 x 10-27 kg, are produced by an ion source and accelerated from rest to speed, v, by an applied voltage, Vapp = 245 V. The ions are focused into a tight beam and shot through a uniform magnetic field, B= 2.57 mT, at a target that's a distance, d = 47.5 cm, away as shown in the figure. The beam bends along a circular path as it travels through the magnetic field so that, the ions hit the target a distance, Ax, to the right of the straight line path (dashed line) as shown.
Singly-ionized particles with mass, m = 3.34 x 10-27 kg, are produced by an ion source and accelerated from rest to speed, v, by an applied voltage, Vapp = 245 V. The ions are focused into a tight beam and shot through a uniform magnetic field, B= 2.57 mT, at a target that's a distance, d = 47.5 cm, away as shown in the figure. The beam bends along a circular path as it travels through the magnetic field so that, the ions hit the target a distance, Ax, to the right of the straight line path (dashed line) as shown.
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Transcribed Image Text:Singly-ionized particles with mass, m = 3.34 x 10-27 kg, are
produced by an ion source and accelerated from rest to
speed, v, by an applied voltage, Vapp = 245 V.
The ions are focused into a tight beam and shot through a
uniform magnetic field, B = 2.57 mT, at a target that's a
distance, d = 47.5 cm, away as shown in the figure.
The beam bends along a circular path as it travels through the
magnetic field so that, the ions hit the target a distance, Ax, to
the right of the straight line path (dashed line) as shown.
(a) What's the sign of the charge on the ions?
O positive
negative
(b) How fast are the ions moving when they leave the source?
v = 1.53e5
m/s ✔
(c) What is the radius of the beam's circular path?
r = 1.24
(d) How far was the beam deflected by the time it reached the target?
Ax =
cm x
target
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X
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X
X
Viewed from Above
LAX
X
1B
X
X
X
X
X
X
X X
lon Source
beam
X X
Xx
X
X X
X X
X
X
d
X X
X
X X
X
V app
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