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JEE Main20207 Jan 2020Evening ShiftPhysicsUnits and DimensionsActual

Given, B is magnetic field induction, and μ 0 is the magnetic permeability of vacuum. The dimension of B 2 2 μ 0 is:

Options

  1. AM L T - 2
  2. BM L 2 T - 1
  3. CM L 2 T - 2
  4. DM L - 1 T - 2

Correct answer

D. M L - 1 T - 2

Step-by-step solution

Energy density in magnetic filed = e n e r g y v o l u m e = B 2 2 μ 0 = F o r c e × d i s p l a c e m e n t d i s p l a c e m e n t 3 = M L T - 2 . L L 3 = M L - 1 T - 2

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