` H^(+), He^(+) and O^(++)` all having the same kinetic energy pass through a region in which there is a uniform magnetic field perpendicular to their velocity . The masses of ` H^(+), He^(+) and O^(2+)` are `1 amu, 4 amu and 16 amu` respectively . Then

Options

A. `H^(+)` will be deflected most
B. `O^(2+)` will be deflected most
C. `He^(+)` and `O^(2+)` will be deflected equally
D. All will be deflected equally

Answer

A,C

Explanation

`{:(,H^(+),He^(+),O^(2+)),((q)/(m),(1)/(1),(1)/(4),(2)/(16)),((q)/(sqrtm),1,(1)/(2),(2)/(4)):}`
`R=(mv)/(qB)`
`=sqrt(2km)/(qB)`
`=sqrtm/q sqrt(2k)/B`
`R_(He^(+))=R_(O^(2+))`
`Rprop(1/q)/sqrtm`
`R_(H^(+)):R_(He^(+)):R_(O^(2+))=1:2:2`