Singly-ionized carbon atoms are accelerated through 1050 V and passed into a mass spectrometer to determine the isotopes present. The magnetic field strength in the spectrometer is 0.180 T. (a) Determine the orbital radii for the 12C and 13C isotopes as they pass through the field.   r1  =    _____  cm (12C) r2  = _____  cm (13C) (b) Show that the ratio of the radii may be written in the form r1/r2= √m1/m2   by verifying that your radii in part (a) satisfy this formula.   r1/r2=______________ √m1/m2=___________

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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Singly-ionized carbon atoms are accelerated through 1050 V and passed into a mass spectrometer to determine the isotopes present. The magnetic field strength in the spectrometer is 0.180 T.

(a) Determine the orbital radii for the 12C and 13C isotopes as they pass through the field.
 
r1  =    _____  cm (12C)
r2  = _____  cm (13C)

(b) Show that the ratio of the radii may be written in the form

r1/r2= √m1/m2
 
by verifying that your radii in part (a) satisfy this formula.
 
r1/r2=______________
√m1/m2=___________
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