H⁺ , He⁺ and O²⁺ ions having same kinetic energy pass through a region of space filled with uniform magnetic. field B directed perpendicular to the velocity of ions. The masses of the ions H⁺ , He⁺ and O²⁺ are respectively in the ratio 1: 4 : 16. As a result

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O²⁺ions will be deflected least

all ions will suffer same deflection

He⁺ and O²⁺ions will suffer same deflection

H⁺ ions will be deflected most

answer is C.

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Detailed Solution

$r = \frac{\sqrt{2 m k}}{q B}$

$∴ r \propto \frac{\sqrt{m}}{q}$

$∴ r_{H} : r_{He} : r_{O} = \frac{\sqrt{1}}{1} : \frac{\sqrt{4}}{1} : \frac{\sqrt{16}}{2} = 1 : 2 : 2$

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