For a charged particle of mass m, charge q entering into a magnetic field of induction B in a direction at right angles to the lines of force, we can write
mv2r=qBv
r=mvqB
For proton, rp=mpvpqpB
For electron, re=meveqeB
Also, mpvp=meve = constant.
Hence,
rpre=qeqp=11 ......(since, qp=qe)