A charged particle q enters a region of uniform magnetic field B (directed out of page as…

Physics · JEE Advanced · NTA ExamsMagnetic Effects of Current and Magnetism

A charged particle q enters a region of uniform magnetic field \(\stackrel{\rightharpoonup}{\mathrm{B}}\) (directed out of page as shown) and is deflected d after travelling a horizontal distance a. The magnitude of the momentum of the particle is
  1. \(\frac{\mathrm{qB}}{2}\left(\frac{\mathrm{a}^{2}}{\mathrm{~d}}+\mathrm{d}\right)\)
  2. \(\frac{\mathrm{qBd}}{2}\)
  3. \(\frac{\mathrm{qBa}}{2}\)
  4. zero

Answer

(A) qB 2 ( a ^ 2 ~d + d )

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