A particle having a charge q and mass m is projected from origin with velocity v =v_ 0 i…

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


A particle having a charge q and mass m is projected from origin with velocity \(\vec{v}=v_{0} \hat{i}\) in a uniform magnetic field\(\vec{B}=\frac{B_{0}}{2} \hat{i}+\frac{\sqrt{3} B_{0}}{2} \hat{j}\).
z-component of velocity is \(\frac{\sqrt{3} v_{0}}{2}\) after time t = ____.
  1. \(\frac{2 \pi m}{B_{0} q}\)
  2. \(\frac{\pi m}{B_{0} q}\)
  3. \(\frac{\pi m}{2 B_{0} q}\)
  4. \(\frac{2 \pi m}{4 B_{0} q}\)

Answer

(C) m 2 B_ 0 q

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