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 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 rpropsqrt(m)/(q)implies(r_(He^(+)))/(r_(o^(++)))=sqrt(m_(He^(+))/(m_(O^(++))))xx(q_(O^(++)))/(q_(He^(++)))`
`sqrt((4)/(16))xx(2)/(1)=(1)/(1)`. Then will deflect equally.