Question

A proton `(p)`, `alpha`-particle and deuteron `(D)` are moving in circular paths with same kinetic energies in the same magnetic field.Find the ratio of their and time periods.(neglect interaction between particles)

Answer 1

`R=sqrt(2mk)/(qB)`
`:.R_(p):R_(q):R_(o)=sqrt(2mK)/(qB):sqrt(2.4mK)/(2qB):sqrt(2.2mK)/(qB) =1:1:sqrt2`
`T=2pim//q_(B)`
`:.T_(p):T_(q):T_(o)=(2pim)/(qB):(2pi4m)/(2qB):(2pi2m)/(qB) =1:2:2`