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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


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


Grade:10

1 Answers

ROSHAN MUJEEB
askIITians Faculty 829 Points
2 years ago

Electrons touches the x axis after every pitch .Distance = p = (vcos∆ )×(2πm)/(Bq)For paraxial electrons ∆ = 0 and q = e Hence p = (2πmv)/(Bq)∆ is the angle on x axis

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