Mixed `He^(+)` and `O^(2+)` ions (mass of `He^(+)`=4 amu and that of `O^(2+)=16` amu) beam passes a region of constant perpendicular magnetic field. If kinetic energy of all the ions is same then

Options

A. `He^(+)` ions will be deflected more than those of `O^(2+)`
B. `He^(+)` ions will be deflected less than those of `O^(2+)`
C. All the ions will be deflected equally
D. No ions will be deflected

Answer

C

Explanation

`r = (sqrt(2mK))/(qB) implies r prop (sqrtm)/(q)`
`(r_(He^(+)))/(r_(o^(2+))) = sqrt((m_(He^(+)))/(m_(o^(2+)))) xx sqrt((4)/(16)) xx (2)/(1) = 1 :1`
Will deflect equally.