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AP EAMCET2003PhysicsMagnetic Effects of Current

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 :

Options

  1. A4: 3
  2. B2: 3
  3. C3: 1
  4. D1: 4

Correct answer

A. 4: 3

Step-by-step solution

m₁: m₂=1: 1q₁: q₂=1: 2v₁: v₂=2: 3 Radius of path of chaged particle moving in uniform magnetic field, r= m v B q r₁ r₂ = ( m₁ m₂ ) ( v₁ v₂ ) ( q₂ q₁ )= 1 1 2 3 2 1 = 4 3 r₁: r₂=4: 3

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