A mass spectrometer is a device that can sort ions based on their mass to charge ratio. incoming ions V q ion detector B Given the incoming particle is a proton with a horizontal speed of 1.4x108 m/s, and the magnetic field strength is 0.7 T, what would the radius of the proton's path be, in meters?

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Chapter26: Electromagnetism
Section: Chapter Questions
Problem 64A
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A mass spectrometer is a device that can sort ions based on their mass to charge
ratio.
incoming
ions
q
V
ion
detector
B
Given the incoming particle is a proton with a horizontal speed of 1.4x108 m/s, and
the magnetic field strength is 0.7 T, what would the radius of the proton's path be, in
meters?
Transcribed Image Text:A mass spectrometer is a device that can sort ions based on their mass to charge ratio. incoming ions q V ion detector B Given the incoming particle is a proton with a horizontal speed of 1.4x108 m/s, and the magnetic field strength is 0.7 T, what would the radius of the proton's path be, in meters?
Given data
- V=1.4x108 m/s
- B = 0.7 T
Solution:
In equilibrium.
FB
qvB
r
=
Fe
my ²
mv
2 B
Putting all values.
in
r = 2.1 m
mv
2B
(24.
r = (1.67 x 10-27 kg) (1.4 x 108 m/s)
(1.602x10-¹) (0.7T)
Transcribed Image Text:Given data - V=1.4x108 m/s - B = 0.7 T Solution: In equilibrium. FB qvB r = Fe my ² mv 2 B Putting all values. in r = 2.1 m mv 2B (24. r = (1.67 x 10-27 kg) (1.4 x 108 m/s) (1.602x10-¹) (0.7T)
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