a beam of alpha particles and protons of some velocity enter in uniform magnetic field at the right angle the ratio of radii of two paths are
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Alpha particle will be helium nucleus of charge 2e and mass 4u
Proton will be hydrogen of charge 1e and mass 1u
Radius of circle of charged particle in magnetic field will be r=mv/qb
By lorentz force,
Radius=momemtum /charge *magnetic field
WE know that radius is inversly proportional to charge
SO Radius of alpha particle will be half of radius of proton
Hence Radii =1:2
Proton will be hydrogen of charge 1e and mass 1u
Radius of circle of charged particle in magnetic field will be r=mv/qb
By lorentz force,
Radius=momemtum /charge *magnetic field
WE know that radius is inversly proportional to charge
SO Radius of alpha particle will be half of radius of proton
Hence Radii =1:2
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