Answer:
The particle path will follow
(d) a circular path
Explanation:
When a charged particle having charge of magnitude '[tex]q[/tex]' enters into a magnetic field such that its velocity vector '[tex]\vec{V}[/tex]' is perpendicular to the direction of the magnetic field '[tex]\vec{B}[/tex]', then it will experience a force, called Lorentz force ([tex]\vec{F_{L}}[/tex]), given by
[tex]\vec{F_{L}} = \vec{V} \times \vec{B}[/tex]
As shown in the figure, the magnetic field is directed perpendicular to the plane and towards the plane (as shown by the circle and 'X'-sign) and the velocity vector is from left to right on the plane.
According to the property of cross-product, the Lorentz force ([tex]F_{L}[/tex]) acting on the particle will be perpendicular to the instantaneous position of the particle, making the path of the particle to be a circular path,as shown in the figure.
