You are standing in the middle of the recreation room of a nuclear submarine tha

Question

You are standing in the middle of the recreation room of a nuclear submarine that is lurking in the Arctic Ocean at the magnetic south pole of the earth, where the magnetic field lines point straight down toward the ocean floor, in the negative z direction. You can fire positively charged particles from the origin at various speeds in any one of the four directions along the positive or negative x and y axes. There is a vertical pole in the position shown. In which direction(s) can you fire positively charged particles and have them reach the pole? Assume that the room is large enough that you don't have to worry about hitting the walls.

Please explain how you got your answer. Thank you.

Explanation / Answer

the force acting on a moving charged particle = Fb = q *( v cross B)

the charge particl will go in ircular path

centripetal force Fc = Fb = m*v^2/R

m*v^2/R = q*v*B

R = m*v/q*B

If we fire the posiitvitely charged particle in any direction
(i.e positive or negative x and y axes) the charged particle

will travel in circular paths in the xy plane.so the positive

particle will reach the pole for ay one of the speed

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