Two ions having masses in ratio 1 : 1 and charges 1 : 2 are projected into uniform magnetic field pe

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4.Moving Charges and Magnetism

medium

Two ions having masses in the ratio $1 : 1$ and charges $1 : 2$ are projected into uniform magnetic field perpendicular to the field with speeds in the ratio $2 : 3$. The ratio of the radii of circular paths along which the two particles move is

$4:3$

$2:3$

$3:1$

$1:4$

Solution

(a) $r = \frac{{mv}}{{qB}} \Rightarrow \frac{{{r_1}}}{{{r_2}}} = \frac{{{m_1}{v_1}}}{{{m_2}{v_2}}} \times \frac{{{q_2}}}{{{q_1}}} = \frac{{1 \times 2}}{{1 \times 3}} \times \frac{2}{1} = \frac{4}{3}$

Standard 12

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(JEE MAIN-2022)

Two ions having masses in the ratio $1 : 1$ and charges $1 : 2$ are projected into uniform magnetic field perpendicular to the field with speeds in the ratio $2 : 3$. The ratio of the radii of circular paths along which the two particles move is

Solution

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