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JEE Main201910 Apr 2019Morning ShiftPhysicsMagnetic Effects of CurrentActual

A proton, an electron, and a Helium nucleus, have the same energy. They are in circular orbits in a plane due to magnetic field perpendicular to the plane. Let r p , r e and r H e be their respective radii, then,

Options

  1. Ar e > r p = r H e
  2. Br e < r p = r H e
  3. Cr e < r p < r H e
  4. Dr e > r p > r H e

Correct answer

B. r e < r p = r H e

Step-by-step solution

We know, r = m v q B &#8757; &#8201;K.E.= 1 2 m v 2 &#160; = 2 m K . E . q B &#8756; K.E. is same for all particle and magnetic field B is also some. r &#8733; m q For proton: r p &#8733; m p e For electron: r e &#8733; m e e For Helium nuclei: r H e &#8733; 4 m p 2 e = m p e

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