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Magnetism question

2013 · Shift 1 · Q58
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Magnetism question

2013 · Shift 1 · Q58

JEE AdvancedPhysicsMagnetismMultiple correct+4 / −2
A particle of mass M and positive charge Q, moving with a constant velocity u→1=4i^{\overrightarrow u _1} = 4\widehat iu1​=4i ms −-− 1 enters a region of uniform static magnetic field, normal to the xy plane. The region of the magnetic field extends from x = 0 to x = L for all values of y. After passing through this region, the particle emerges on the other side after 10 ms with a velocity u→2=2(3i^+j^){\overrightarrow u _2} = 2\left( {\sqrt 3 \widehat i + \widehat j} \right)u2​=2(3​i+j​) ms −-− 1. The correct statement(s) is(are)
  1. A
    The direction of the magnetic field is −-− z direction.
  2. B
    The direction of the magnetic field is +z direction.
  3. C
    The magnitude of the magnetic field is 50πM3Q{{50\pi M} \over {3Q}}3Q50πM​ units.
  4. D
    The magnitude of the magnetic field is 100πM3Q{{100\pi M} \over {3Q}}3Q100πM​ units.
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