Which one will experience maximum force when projected with the same velocity 'v' perpendicular to the magnetic field B, alpha particle or beta particle?
Answers
Answer:
F = q(v x B) As for same velocity and magnetic field alpha particle will experience maximum force because it have greater charge than beta particle.
The force,F due to magnetic field B on a charge q moving with velocity v is
F=q(vXB ).
If v is perpendicular to B, this force,F= qvB.
Direction of this force is perpendicular to B and v.
Thus, this force acts as centripetal force on the particle causing a circular motion.
mv^2/R=qvB. Therefore,
R=mv/(qB).
So, for v and B remaining the same for different charge particles,
radius of circular path is proportional to m/q. Therefore , taking Re and R as radii of circular paths of electron ( note that beta particles are electrons) and alpha particles respectively and m and M as masses of electron and alpha particle, we have
Re/R( alpha)=(m/e)/(M/2e) =(m/M)(2)< <<< 1. Then,
Re<R
Thus, beta particles have smaller circular path.
Explanation:
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