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A particle of mass and charge is projected with velocity into a region of uniform magnetic field directed perpendicular to the velocity. If the particle moves in a circular path of radius , what is the time taken by the particle to complete one-fourth of the circle?
- A.
- B.
- C.
- D.
Show correct answer & step-by-step solution
Correct answer: A —
Solution
- The time period of a charged particle in a uniform magnetic field is .
- The time taken to complete one-fourth of the circular path is .
- Substituting the expression for , we get .
- Hence the answer is (A).
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