The above given case is only going to happen if both the particle experience same acceleration due to the magnetic force but opposite in direction to each other also their velocity must be same to trace the path in both senses. And, acceleration of moving charged particle due to magnetic force is given by where,

q is charge of particle;

v is velocity vector;

B is magnetic field vector;

m is mass of particle.

and since both the acceleration are opposite to each other so they add up to be 0. So, a₁+a₂=0 which simplifies to

Hence, our answer is option (d).