A carbon-14 ion with a charge of +6.408x10^-19 C and a mass of 2.34x10^-26 kg is sent through a mass spectrometer and hits a detector at a point 10.0 cm to the left of  where the beam leaves the velocity selector. The velocity selector and the detector are both in a region of magentic field of strength 0.500 T.    If a carbon-12 ion (q=+6.408x10^-19 C, m= 1.99x10^-26 kg) is accelerated to the same velocity as the carbon-14 ion, where would you need to place the detector to detect it?

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
Publisher:OpenStax
Chapter12: Sources Of Magnetic Fields
Section: Chapter Questions
Problem 12.8CYU: Check your Understanding Repeat the calculations from the previous example for I0=0.040A .
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A carbon-14 ion with a charge of +6.408x10^-19 C and a mass of 2.34x10^-26 kg is sent through a mass spectrometer and hits a detector at a point 10.0 cm to the left of  where the beam leaves the velocity selector. The velocity selector and the detector are both in a region of magentic field of strength 0.500 T. 

 

If a carbon-12 ion (q=+6.408x10^-19 C, m= 1.99x10^-26 kg) is accelerated to the same velocity as the carbon-14 ion, where would you need to place the detector to detect it?

 

Please also explain and show the steps you used to get there/the physics behind why/how you got to the answer to help me better understand. Thank you soo much. Also, the work and the explanation or most important because I already have the correct answer - I'm just unsure of how to get there. 

Region of
uniform
Particle
path
magnetic field
10.0 cm
Accelerating
plates
B
detector
15.0 cm
Transcribed Image Text:Region of uniform Particle path magnetic field 10.0 cm Accelerating plates B detector 15.0 cm
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