Physics Olympiad 29
Posted: Mon Sep 28, 2009 8:41 pm
http://www.princeton.edu/~jdpeters/docs ... piad99.pdf
I can't understand why the answer is E.
The velocity with which the ion enters the magnetic field is determined by
1/2 m v^2 = q V
ans so v is proportional to sqrt(q/m).
The radius of the arc in a magnetic field of strength B is proportional to (m * v) /q which is proportional to sqrt(m/q).
Since the oxygen is double the charge and quadruple the mass, we expect oxygen to have a radius which is increased by a factor of sqrt(2)
I can't understand why the answer is E.
The velocity with which the ion enters the magnetic field is determined by
1/2 m v^2 = q V
ans so v is proportional to sqrt(q/m).
The radius of the arc in a magnetic field of strength B is proportional to (m * v) /q which is proportional to sqrt(m/q).
Since the oxygen is double the charge and quadruple the mass, we expect oxygen to have a radius which is increased by a factor of sqrt(2)