Using the data shown in the table, calculate the path radius of the Cat ion. Ca path radius: m Charge Mass Isotope (x10-25 (x10-19 C kg) Ca+ 0.666 +1.602 Ca+ 0.666 +3.204 Ba 2.28 +1.602 Ba?+ 2.28 +3.204 Ra* 3.75 +1.602 Ra2+ 3.75 +3.204 Ra+ 3.75 +4.806

Inquiry into Physics
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Chapter10: Atomic Physics
Section: Chapter Questions
Problem 33Q
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Elements that appear in the same column of the periodic table
oflen share sinmilar chemical properties, In the case of the
alkaline earth metals, this is troublesome since the body treats
calcium (necessary for proper bone growth) and radium (a
radioactive element) as chemically similar, storing both in
bone marrow, The radium then bombards nearby bone cells
with alpha particles, causing them to "crumble."
lonized
Radium poisoning investigations often center on the
identification of radium and its isotopes in bone samples using
isotope
a mass spectrometer. Pictured is a schematic of a simplified
mass spectrometer that shows the paths of calcium isotopes,
barium (another alkaline earth metal) isotopes, and radium
isotopes entering the chamber. The region shown is immersed
in a constant magnetic field of 0.352 T pointing out of the
В
-AV
plane of the schematic. Motion of the positively-charged
isotopes toward the right was initiated by a potential
difference of 2876 V on the two plates shown.
Detector
F
Using the data shown in the table, calculate the path radius of
the Ca ion.
Cat path radius:
Charge
Mass
Isotope
(x10-19 C
(x10-25 kg)
Ca
0.666
+1.602
Ca2+
0.666
+3.204
Ba*
2.28
+1.602
Ba2+
2.28
+3.204
Rat
3.75
+1.602
Ra2+
3.75
+3.204
Ra3+
3.75
+4.806
Using the same data table, match the particles to their
Path A
Answer Bank
path label.
Path B
Ba
Ba2+
Ra34
Path C
Ra+
Rat
Ca
Path D
Path E
Ca
Path F
Path G
DE
Transcribed Image Text:Elements that appear in the same column of the periodic table oflen share sinmilar chemical properties, In the case of the alkaline earth metals, this is troublesome since the body treats calcium (necessary for proper bone growth) and radium (a radioactive element) as chemically similar, storing both in bone marrow, The radium then bombards nearby bone cells with alpha particles, causing them to "crumble." lonized Radium poisoning investigations often center on the identification of radium and its isotopes in bone samples using isotope a mass spectrometer. Pictured is a schematic of a simplified mass spectrometer that shows the paths of calcium isotopes, barium (another alkaline earth metal) isotopes, and radium isotopes entering the chamber. The region shown is immersed in a constant magnetic field of 0.352 T pointing out of the В -AV plane of the schematic. Motion of the positively-charged isotopes toward the right was initiated by a potential difference of 2876 V on the two plates shown. Detector F Using the data shown in the table, calculate the path radius of the Ca ion. Cat path radius: Charge Mass Isotope (x10-19 C (x10-25 kg) Ca 0.666 +1.602 Ca2+ 0.666 +3.204 Ba* 2.28 +1.602 Ba2+ 2.28 +3.204 Rat 3.75 +1.602 Ra2+ 3.75 +3.204 Ra3+ 3.75 +4.806 Using the same data table, match the particles to their Path A Answer Bank path label. Path B Ba Ba2+ Ra34 Path C Ra+ Rat Ca Path D Path E Ca Path F Path G DE
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