A magnetic field, set up using Helmhotlz coils, is uniform, in a small region and has a magnitude of `0.75t`. In the same region, a uniform electrostatic field is maintained in a direction normal to the common axis of the coils. A narrow beam of (sinle species) charged particles, all accelerated through 15KV, enters this region in direction perpendicular to both the axis of the coils and the electrostatic field. if the beam remains undeflected when the electrostatic field is `9.0xx10^(5)V*m^(-1)`, make a simple guess as to what the beam contains. Why is the answer not unique ?

Explanation

`qE=Bqv`
`:. V=(E)/(B)=(9xx10^(5))/(0.75)=1.2xx10^(6)m*s^(-1)`
Again `(1)/(2) mv^(2)=qV`
`:. (q)/(m)=(1)/(2)(v^(2))/(V)=(1)/(2)xx((1.2xx10^(6))^(2))/(15xx10^(3))=4.8xx10^(7)C *kg^(-1)`
`He^(++),Li^(++),""_(1)H^(2)` ion-for all these paticles
`(q)/(m)=4.8xx10^(7)C*kg^(-1)`
`:.` The charged particle may be any of these.