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H^(+), He^(+) and O^(++) all having the ...

` 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

A

`H^(+)` will be least deflected .

B

`He^(+)` and `O^(+2)` will be deflected equally .

C

`O^(+2)` will be deflected most .

D

all will be deflected equally.

Text Solution

Verified by Experts

The correct Answer is:
B
`r = sqrt(2mE)/(qB) implies r prop(sqrtm)/(q)`
`r_(H+) = r_(He+) : r_(O^+2) : (sqrt1)/(1) : (sqrt4)/(1) : (sqrt16)/(2) = 1 : 2 : 2 ` .
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