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JEE Main20203 Sep 2020Morning ShiftPhysicsMagnetic Effects of CurrentActual

A charged particle carrying charge 1 μ C is moving with velocity ( 2 i ^ + 3 j ^ + 4 k ^ ) m s - 1 . If an external magnetic field of ( 5 i ^ + 3 j ^ - 6 k ^ ) × 10 - 3 T exists in the region where the particle is moving then the force on the particle is F → × 10 - 9 N . the vector F → is :

Options

  1. A- 0 . 30 i ^ + 0 . 32 j ^ - 0 . 09 k ^
  2. B- 30 i ^ + 32 j ^ - 9 k ^
  3. C- 300 i ^ + 320 j ^ - 90 k ^
  4. D- 3 . 0 i ^ + 32 j ^ - 0 . 9 k ^

Correct answer

B. - 30 i ^ + 32 j ^ - 9 k ^

Step-by-step solution

Using the equation of force as, F → = q V → × B → F → = 10 - 6 × 10 - 3 i ^ j ^ k ^ 2 3 4 5 3 - 6 = - 30 i ^ + 32 j ^ - 9 k ^ × 10 - 9   N

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