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A mass spectrometer similar to the one in the figure below is designed to separate protein fragments. The....?
A mass spectrometer similar to the one in the figure below is designed to separate protein fragments. The fragments are ionized by removing a single electron and then enter a 0.60 T uniform magnetic field at a speed of 2.5 105 m/s. If a fragment has a mass 90 times the mass of the proton, what will be the distance between the points where the ion enters and exits the magnetic field?
http://www.webassign.net/knightcp1/24-38.gif
This is just a practice probem. I want to know how to solve this,not just the answer.
Thank you!
1 Answer
- 7 years ago
ma=F
implies mv^2/r=qvB
simplifying it we get:
r=(mv)/(qB)
And the distance between the points where it enters and exits is 2r:
2r=2(mv)/(qB)
=2(90)(1.67x10^-27)(2.5x10^5)/((1.6x10^-19)(0.6)
=0.78m
So distance is 0.78m or 78 cm.
