Question- A deflecting force is experienced by a charged particle entering a magnetic field. The deflecting force is always______

A. parallel to the magnetic field lines
B. parallel to the motion of the charged particle
C. perpendicular to both the motion of the charged particles and the direction of the magnetic field lines

C. perpendicular to both the motion of the charged particles and the direction of the magnetic field lines

The deflecting force experienced by a charged particle entering a magnetic field is always perpendicular to both the motion of the charged particle and the direction of the magnetic field lines.

To understand why, we need to consider the interaction between a magnetic field and a moving charged particle. When a charged particle moves through a magnetic field, it experiences a force called the magnetic Lorentz force. This force is given by the equation F = q(v x B), where F is the force, q is the charge of the particle, v is the velocity of the particle, and B is the magnetic field vector.

The important thing to note is the cross product (v x B) in the equation. The cross product of two vectors results in a third vector that is perpendicular to both of the original vectors. In this case, the cross product of the velocity vector (v) and the magnetic field vector (B) gives the resulting force vector (F), which is perpendicular to both v and B.

So, the deflecting force experienced by a charged particle entering a magnetic field will always be perpendicular to both the motion of the charged particle and the direction of the magnetic field lines. Therefore, the correct answer is C - perpendicular to both the motion of the charged particles and the direction of the magnetic field lines.