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 radius of circular paths along which the two particles move is

Question

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 radius of circular paths along which the two particles move is, 4 : 3, 2 : 3, 3 : 1, 1 : 4

MARKS App · Accepted Answer

m 1 : m 2 = 1 : 1 q 1 : q 2 = 1 : 2 v 1 : v 2 = 2 : 3 Radius of path of charged particle moving in uniform magnetic field, r = m v B q ∴ r 1 r 2 = m 1 m 2 v 1 v 2 × q 2 q 1 = 1 1 × 2 3 × 2 1 = 4 3 r 1 : r 2 = 4 : 3

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