Answer :
The charge particle should move at an angle of 90 degrees relative to the magnetic field to experience maximum deflecting force.
The force on the charged particle moving in a magnetic field is given by,
F = q(VxB)
Where,
F is the force,
q is the charge of the particle,
V is the speed of the charged particle which is indeed the direction of the motion of the particle,
B is the magnetic field.
Now we can see, that there is across product in between the speed vector and the magnetic field vector. So, we can write,
F = qVBsin(A)
Where, sin(A) is the angle between V and B.
In order to experience maximum deflecting force on the charged particle, sin(A) has to be 1, so the value of the angle between V and B has to be 90 degrees.
So, to experience the maximum deflecting force on the charged particle, the angle between the speed and the magnetic field should be 90 degrees.
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