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AP EAMCET201921 Apr 2019Evening ShiftPhysicsDual Nature of MatterActual

An α -particle moves in a circular path of radius 1 cm in a uniform magnetic field of 0 . 125 T . The de Broglie wavelength associated with the α -particle is

Options

  1. A1 . 65 × 10 - 12   m
  2. B3 . 3 × 10 - 12   m
  3. C4 . 95 × 10 - 12   m
  4. D6 . 6 × 10 - 12   m

Correct answer

A. 1 . 65 × 10 - 12   m

Step-by-step solution

The expression for the circular path in a uniform magnetic fields is, R = m v q B m v = q R B We know that de-Broglie wavelength of a charged particle is given by, λ = h m v Substitute the expression in the above equation. λ = h R q α B λ = h ( + 2 e ) B R λ = 6 . 6 × 10 - 34 2 × 1 . 6 × 10 - 19 × 0 . 125 × 1 × 10 - 2 = 1 . 65 × 10 - 12   m

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