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COMEDK · Physics · 21. Magnetic Effects of Current

A proton and an \(\alpha\)-particle are projected with the same kinetic energy at right angles to a uniform magnetic field. The ratio of the radii of their paths is

  1. A \(2: 1\)
  2. B \(1: 2\)
  3. C \(1: 1\)
  4. D \(2: 3\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(1: 1\)

Step-by-step Solution

Detailed explanation

Radius of circular path of a charged particle in uniform magnetic field, when it enters perpendicular direction of magnetic field. \[ r=\frac{m v}{B q} \quad \text{...(i)} \] where, \(m=\) mass, \(v=\) velocity and \(q=\) charge. We know that, kinetic energy,…