1.

A proton, a deuteron and an a-particle have same kinetic energies. Their velocities are in the ratio of:

Answer»

`1:sqrt2:1`
`1:1:sqrt2`
`sqrt2:1:1`
`1:(1)/(sqrt(2)):1`

Solution :Here `R=(mv)/(Be)= sqrt((mxx mv^(2)))/(Be)=sqrt(2mE_(k))/(Be)`
Here K.E. and B are the same `:. r PROP (sqrt(m))/(e)`
`:.r_(p):r_(d):r_(alpha): :sqrt(m_(p))/(e): sqrt(m_(d))/(e):sqrt(m_(alpha))/(2e)=1: sqrt(2):1`
`:.m_(d)=2m_(p) and m_(alpha)=4m_(p)`


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