three charge proton, deuteron and alpha particle are projected in uniform transverse magnetic field then find ratio of their radii of circular tracks respectively if their Vacc is same
We know that radius of the path of a charged particle moving in a magnetic field can be give by the equation R = √(2mk)/qB , (m=mass,k= kinetic energy , q= charge ,B = Magnetic field)
As kinetic energy is same and they are moving in the same magnetic field
R(proton):R(alpha particle):R(deuteron) = √2mk/qb : √2.4mk/2qb : √2.2mk/qb = 1:1:√2