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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 kg, and m they are singly charged and travel at 5.106 in a 1.25 T magnetic field. What is the separation S Ad=2r2-2r, between their paths when they hit a target after traversing a semicircle?

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 they are singly charged and travel at 5.106 in a 1.25 T magnetic field. What is the separation S Ad=2r2-2r, between their paths when they hit a target after traversing a semicircle?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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1. 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 m -26 kg, and they are singly charged and travel at 5·106- in a 1.25 T magnetic field. What is the separation S Ad=2r2-2r₁ between their paths when they hit a target after traversing a semicircle? F=qE FE Bout V Ion Source F = qvB FB + m2 m₁ 21 212 Bout Things to Prepare: 1. Make a list of information given to you. 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? Ad 0.17875 m
Transcribed Image Text:1. 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 m -26 kg, and they are singly charged and travel at 5·106- in a 1.25 T magnetic field. What is the separation S Ad=2r2-2r₁ between their paths when they hit a target after traversing a semicircle? F=qE FE Bout V Ion Source F = qvB FB + m2 m₁ 21 212 Bout Things to Prepare: 1. Make a list of information given to you. 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? Ad 0.17875 m
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