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)

Explanation

`R=(sqrt(2mK))/(qB)`
`therefore R_(p):R_(alpha):R_(D)=(sqrt(2mK))/(qB):(sqrt(2.4mK))/(qB):(sqrt(2.2mK))/(qB)`
`=1:1:sqrt(2)`
`T=2pim//qB`
`therefore T_(p):T_(alpha):T_(D)=(2pim)/(qB):(2pi4m)/(2qB):(2pi2m)/(qB)`
`=1:2:2`