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Mixed H e + and O 2 + ions (mass of H e + = 4 a m u a n d t h a t o f O 2 + = 16 a m u ) beam passes a region of constant perpendicular magnetic field. If kinetic energy of all the ions is same, then

Options

  1. AH e + ions will be deflected more than those of O 2 +
  2. BH e + ions will be deflected less than that of O 2 +
  3. CAll the ions will be deflected equally
  4. DNo ions will be deflected

Correct answer

C. All the ions will be deflected equally

Step-by-step solution

E = 1 2 m v 2 or v = 2 E m q v B = m v 2 r or r = m v q B = m q B × 2 E m = 2 E m q B or r ∝ m q Hence, r 1 = r 2

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