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JEE Main2018PhysicsMagnetic Effects of CurrentActual

An electron, a proton and an alpha particle having the same kinetic energy are moving in circular orbits of radii r e , r p , r α respectively in a uniform magnetic field B. The relation between r e , r p , r α is:

Options

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

Correct answer

C. r e < r p = r α

Step-by-step solution

r = m V q B = 2 m K q B &#8658; r &#8733; m q . For electron, r e = k m e e Where, m e is the mass of an electron. m = the mass of a proton. For alpha particles, r &#945; = k 4 m 2 e = k m e , q = charge on proton. For proton, r p = k m e , so, r e &#60; r p = r &#945; .

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