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Q.

Mixed He+ and O2+ ions (mass of He+ = 4 amu and that of O2+ = 16 amu) beam passes a region of constant perpendicular magnetic field. If kinetic energies of all the ions are the same, then

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a

He+ ions will be deflected more than those of O2+

b

He+ ions will be deflected less than those of O2+

c

All the ions will be deflected equally

d

No ions will be deflected

answer is C.

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Detailed Solution

r=2mKqB  ⇒r ∝  mq ⇒  rHe+rO++  =   mHe+mO++ × qO++qHe+=416  ×  21 =  11.   They  will  deflect  equally.
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Mixed He+ and O2+ ions (mass of He+ = 4 amu and that of O2+ = 16 amu) beam passes a region of constant perpendicular magnetic field. If kinetic energies of all the ions are the same, then