A proton , a deuteron , a alpha particle having same kinetic energy enter perpendicular to a uniform magnetic field - Physics - Current Electricity

Question

A proton , a deuteron , a alpha particle having same kinetic energy
enter perpendicular to a uniform magnetic field find ratio of radii
circular paths ?

Ravi Gupta · Accepted Answer

Force acting in the magnetic field is gievn by:F = qVBmv2r = qvBr = mvqBwhere r is the radius of the circular pathP = mvkinetic enegry = p22mp= 2m×KEr =2m×KEqBqp = eqd = eqa = 2emp = mmd = 2mma = 4mrp =2m×KEeB rd = 4m×KEeBra = 8m×KE2eBrp:rd:ra = 2:2:2= 1:2:1

A proton , a deuteron , a alpha particle having same kinetic energy enter perpendicular to a uniform magnetic field . find ratio of radii circular paths ?