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1) In a region of space a uniform magnetic field B is along a positive x - axis. Electrons are emitted from the origin with speed v at different angles. Show that the paraxial electrons are focussed on the x - axis at a distance 2 pie m v / Be. Here m is the mass of the electron and e is the charge on it.
2) A particle of mass m and charge q is lying at the origin in a niform magnetic field B directed along the x-axis. A time t=0, it is a given velocity v0 at an angle @ with the y-axis in the x-y plane. Find the coordinates of the particle after one revolution
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