An electron, a proton, a deuteron and an alpha particle, each having the same speed are in a region of constant magnetic field perpendicular to the direction of the velocities of the particles. The radius of the circular orbits of these particles are respectively R e , R p , R d and R α . If follows that

Question

An electron, a proton, a deuteron and an alpha particle, each having the same speed are in a region of constant magnetic field perpendicular to the direction of the velocities of the particles. The radius of the circular orbits of these particles are respectively R e , R p , R d and R α . If follows that, R e = R p, R p = R d, R d = R α, R p = R α

MARKS App · Accepted Answer

In perpendicular magnetic field magnetic force provided centripetal force. By the relation q v B = m v 2 r r = m v q B r ∝ m q Since, m q ratio for deuteron and α -particle is the same. m q = 4 2 = 2 f o r α - p a r t i c l e and ( m q = 2 1 = 2 for deuteron). Hence, the radius is the same for both.

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