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JEE Main202228 Jul 2022Morning ShiftPhysicsUnits and DimensionsActual

The dimensions of B 2 μ 0 will be (if μ 0 : permeability of free space and B : magnetic field)

Options

  1. AML 2   T - 2
  2. BMLT - 2
  3. CML - 1 T - 2
  4. DMLL - 2 A - 1

Correct answer

C. ML - 1 T - 2

Step-by-step solution

Energy density in magnetic field is given by u = B 2 2 μ 0 . Therefore, dimensions of B 2 μ 0 will be equal to the dimensions of energy per unit volume. B 2 μ 0 = u = ML 2 T - 2 L 3 = ML - 1 T - 2

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