A proton, a deuteron and an α -particle are projected perpendicular to the direction of a uniform magnetic field with same kinetic energies. The ratio of the radii of the circular paths described by them is

Question

A proton, a deuteron and an α -particle are projected perpendicular to the direction of a uniform magnetic field with same kinetic energies. The ratio of the radii of the circular paths described by them is, 1 : 2 : 1, 1 : 2 : 2, 2 : 2 : 1, 2 : 1 : 1

MARKS App · Accepted Answer

According to the question, magnetic field is uniform and the kinetic energy for each particle is same. We know that, r = m v q B = 2 m K . E. q B r ∝ m q r p : r d : r α = 1 1 : 2 1 : 4 2 = 1 : 2 : 1

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