An experiment is conducted in mass spectrometry taking sequentially IO_{3}^{-} , \textrm{ }\textrm{ } SO_{5}^{2 -} \textrm{ }\textrm{ } and \textrm{ }\textrm{ } \left(He\right)^{2 +} one by one. If all the ions are accelerated by same potential difference then the ratio of radii of all the ions undergoing circular motion when same magnetic field is applied in direction perpendicular to the motion of ions, are

Engineering

Chemistry

Dual Behaviour and de Broglie Hypothesis

Question

An experiment is conducted in mass spectrometry taking sequentially ${IO}_{3}^{-}, {SO}_{5}^{2 -} and {He}^{2 +}$ one by one. If all the ions are accelerated by same potential difference then the ratio of radii of all the ions undergoing circular motion when same magnetic field is applied in direction perpendicular to the motion of ions, are

$5 \sqrt{7} : 4 \sqrt{3} : \sqrt{2}$

$5 \sqrt{3} : 4 \sqrt{6} : \sqrt{2}$

$5 \sqrt{3} : 4 \sqrt{6} : 1$

$5 \sqrt{7} : 4 \sqrt{3} : 1$

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m/q $\sqrt{m / q}$

${IO}_{3}^{-}$ 175 $5 \sqrt{7}$ $r \propto \sqrt{\frac{m}{q}}$

${SO}_{4}^{2 -}$ 48 $4 \sqrt{3}$ for same potential difference

He²⁺ 2 $\sqrt{2}$