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Question: Answered & Verified by Expert
A particle of specific charge qm=π C kg-1 is projected from the origin towards positive x-axis with a velocity of 10 m s-1 in a uniform magnetic field B=-2 k^ T. The velocity v of the particle after time t=112 s will be (in m s-1)
PhysicsMagnetic Effects of CurrentJEE Main
Options:
  • A 5 i ^ + 3 j ^
  • B 5 3 i ^ + j ^
  • C 5 3 i ^ - j ^
  • D 5 i ^ + j ^
Solution:
2126 Upvotes Verified Answer
The correct answer is: 5 3 i ^ + j ^
Time period,  T = 2 π m qB = 2 π π × 2 = 1 s

Thus, the particle will be at point P after t=112 s



v = 1 0 cos 3 0 i ^ + sin  3 0 j ^

      v = 1 0 3 2 i ^ + 1 2 j ^ = 5 3 i ^ + j ^ m s - 1

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