In a mass spectrometer, a singly-charged particle (charge e ) has a speed of 1.0

Question

In a mass spectrometer, a singly-charged particle (charge e) has a speed of 1.0 × 106 m/s and enters a uniform magnetic field of 0.20 T. The radius of the circular orbit of the particle is 0.020 m. What is the mass of this particle? (e = 1.60 × 10-19 C) Answer 4.5 × 10-27 kg 6.4 × 10-28 kg 3.2 × 10-28 kg 3.1 × 10-31 kg 1.7 × 10-27 kg In a mass spectrometer, a singly-charged particle (charge e) has a speed of 1.0 × 106 m/s and enters a uniform magnetic field of 0.20 T. The radius of the circular orbit of the particle is 0.020 m. What is the mass of this particle? (e = 1.60 × 10-19 C) 4.5 × 10-27 kg 6.4 × 10-28 kg 3.2 × 10-28 kg 3.1 × 10-31 kg 1.7 × 10-27 kg 4.5 × 10-27 kg 6.4 × 10-28 kg 3.2 × 10-28 kg 3.1 × 10-31 kg 1.7 × 10-27 kg

Explanation / Answer

Apply the formula

r = mv/qB

(.02) = (m)(1 X 10^6)/(1.6 X 10^-19)(.2)

m = 6.4 X 10^-28 kg

That is choice B

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