A mass spectrometer is being used to separate common oxygen-16 from the much rarer oxygen-18, taken from a sample of old glacial ice. (The relative abundance of these oxygen isotopes is related to climatic temperature at the time the ice was deposited.) The ratio of the masses of these two isotopes is 16 to 18, the mass of oxygen-16 is 2.66-10-26 kg, and m S they are singly charged and travel at 5.106 - in a 1.25 T magnetic field. What is the separation Ad=2r₂-2r₁ between their paths when they hit a target after traversing a semicircle? F=gE FE Bout

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A mass spectrometer is being used to separate common oxygen-16 from the much rarer oxygen-18,
taken from a sample of old glacial ice. (The relative abundance of these oxygen isotopes is related to
climatic temperature at the time the ice was deposited.)
The ratio of the masses of these two isotopes is 16 to 18, the mass of oxygen-16 is 2.66-10-26
m
S
they are singly charged and travel at 5.106 in a 1.25 T magnetic field. What is the separation
Ad=2r₂-2r₁ between their paths when they hit a target after traversing a semicircle?
Ion
source
F=qE FE
Ad=
F = qvB FB
Things to Prepare:
1. Make a list of information given to you.
+
m
Bout
V
12r₁
212
m₂
2. Identify the formula for the radius of the trajectory for particles in the magnetic field.
3. Set - up the formulae in step 2 for the two for the particles.
4. How can you manipulate the formulae in step 3 to solve for the answer?
Bout
kg, and
Transcribed Image Text:A mass spectrometer is being used to separate common oxygen-16 from the much rarer oxygen-18, taken from a sample of old glacial ice. (The relative abundance of these oxygen isotopes is related to climatic temperature at the time the ice was deposited.) The ratio of the masses of these two isotopes is 16 to 18, the mass of oxygen-16 is 2.66-10-26 m S they are singly charged and travel at 5.106 in a 1.25 T magnetic field. What is the separation Ad=2r₂-2r₁ between their paths when they hit a target after traversing a semicircle? Ion source F=qE FE Ad= F = qvB FB Things to Prepare: 1. Make a list of information given to you. + m Bout V 12r₁ 212 m₂ 2. Identify the formula for the radius of the trajectory for particles in the magnetic field. 3. Set - up the formulae in step 2 for the two for the particles. 4. How can you manipulate the formulae in step 3 to solve for the answer? Bout kg, and
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