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NEET2022PhysicsUnits and DimensionsActual

The dimensions MLT A - 2 - 2 belong to the

Options

  1. Aself inductance
  2. Bmagnetic permeability
  3. Celectric permittivity
  4. Dmagnetic flux

Correct answer

B. magnetic permeability

Step-by-step solution

Force, F = q 1 q 2 4 π ε 0 r 2 or ε 0 = q 1 q 2 4 π r 2 F Charge = current × time Force = mass × acceleration Thus, dimensional formula of electric permittivity, ε 0 = I T I T L 2 MLT - 2 = M - 1 L - 3 T 4 I 2 Since speed of light, c = 1 ε 0 μ 0 Therefore, dimensional formula of magnetic permeability, μ 0 = 1 c 2 ε 0 = 1 L 2 T - 2 M - 1 L - 3 T 4 I 2 ⇒ μ 0 = MLT - 2 I - 2

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