A singly ionized magnesium atom A = 24 ion is accelerated to kinetic energy 5 keV , and is projected perpendicularly into a magnetic field B of the magnitude 0 . 5 T . The radius of path formed will be _____ cm .

Question

A singly ionized magnesium atom A = 24 ion is accelerated to kinetic energy 5 keV , and is projected perpendicularly into a magnetic field B of the magnitude 0 . 5 T . The radius of path formed will be _____ cm .,

MARKS App · Accepted Answer

The radius of circle formed by a charged particle in a magnetic field perpendicular to the velocity is given by, R = m V q B ⇒ R = 2 m K q B = 2 × 24 × 1 . 6 × 10 - 27 × 5000 × 1 . 6 × 10 - 19 1 . 6 × 10 - 19 × 0 . 5 = 979 × 10 - 4 m ≃ 10 cm

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