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The functional groups of an organic compound is analyzed by a simple mass spectrometer. A methyl group (CH3) of an organic compound has a mass of 15.0 amu, where 1 amu is equal to 1.663 x 10-27 kg. A methyl group particle is ionized with one electronic charge (1.602 x 10-19 C), accelerated, and filtered by a velocity selector, which has a uniform electric field E₁ = 8000. N/C and a uniform magnetic field B₁. Then the particle enters into a region of uniform magnetic field B₂ = 2.00 T and moves in a semi-circle until it lands on the detector 3.00 cm away. Both the magnetic field inside and outside the velocity detector are directed into the page. X B₂ X X Detector X E₁ X X X В1 3.00 cm Velocity Selector

The functional groups of an organic compound is analyzed by a simple mass spectrometer. A methyl group (CH3) of an organic compound has a mass of 15.0 amu, where 1 amu is equal to 1.663 x 10-27 kg. A methyl group particle is ionized with one electronic charge (1.602 x 10-19 C), accelerated, and filtered by a velocity selector, which has a uniform electric field E₁ = 8000. N/C and a uniform magnetic field B₁. Then the particle enters into a region of uniform magnetic field B₂ = 2.00 T and moves in a semi-circle until it lands on the detector 3.00 cm away. Both the magnetic field inside and outside the velocity detector are directed into the page. X B₂ X X Detector X E₁ X X X В1 3.00 cm Velocity Selector

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Determine the magnitude of B₁. Show the following key steps: i. Write an equation to relate the electrostatic and magnetic force on the particle in terms of q, v, E₁ and B₁ ONLY: ii. B₁ = mT.
Transcribed Image Text:Determine the magnitude of B₁. Show the following key steps: i. Write an equation to relate the electrostatic and magnetic force on the particle in terms of q, v, E₁ and B₁ ONLY: ii. B₁ = mT.
The functional groups of an organic compound is analyzed by a simple mass spectrometer. A methyl group (CH3) of an organic compound has a mass of 15.0 amu, where 1 amu is equal to 1.663 x 10-27 kg. A methyl group particle is ionized with one electronic charge (1.602 x 10-19 C), accelerated, and filtered by a velocity selector, which has a uniform electric field E₁ = 8000. N/C and a uniform magnetic field B₁. Then the particle enters into a region of uniform magnetic field B₂ = 2.00 T and moves in a semi-circle until it lands on the detector 3.00 cm away. Both the magnetic field inside and outside the velocity detector are directed into the page. X B₂ X E₁ X B₁ Detector 3.00 cm Velocity Selector
Transcribed Image Text:The functional groups of an organic compound is analyzed by a simple mass spectrometer. A methyl group (CH3) of an organic compound has a mass of 15.0 amu, where 1 amu is equal to 1.663 x 10-27 kg. A methyl group particle is ionized with one electronic charge (1.602 x 10-19 C), accelerated, and filtered by a velocity selector, which has a uniform electric field E₁ = 8000. N/C and a uniform magnetic field B₁. Then the particle enters into a region of uniform magnetic field B₂ = 2.00 T and moves in a semi-circle until it lands on the detector 3.00 cm away. Both the magnetic field inside and outside the velocity detector are directed into the page. X B₂ X E₁ X B₁ Detector 3.00 cm Velocity Selector
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