A deuteron and a proton moving with the same speed enter the same magnetic field region at right angles to - Physics - Moving Charges And Magnetism

Question

A deuteron and a proton moving with the same speed enter the same
magnetic field region at right angles to the direction of the field
show the trajectories followed by the two particles in the magnetic
field,find the ratio of the radii of the circular paths which the
two particles may describe

Jyoti Pant · Accepted Answer

Radius of charged particle in magnetic field is given by the
relation,r=mvqBFor same v and B,r α
mqSo,rprd=(m/q)p(m/q)d=(mp/e)(2mp/e)=12or rp: rd=1:2

A deuteron and a proton moving with the same speed enter the same magnetic field region at right angles to the direction of the field.show the trajectories followed by the two particles in the magnetic field,find the ratio of the radii of the circular paths which the two particles may describe.