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Match the List-I with List-II ( array ||c|l||c|l|| & List-I & & List-II A. & Magnetic induction & I. & M ,L ,T⁻² ,A⁻² B. & Magnetic flux & II. & M ,L² ,T⁻² ,A⁻² C. & Magnetic permeability & III. & M ,L⁰ ,T⁻² ,A⁻¹ D. & Self inductance & IV. & M ,L² ,T⁻² ,A⁻¹ array ) Choose the correct answer from the options given below:

Options

  1. AA-III, B-IV, C-II, D-I
  2. BA-III, B-IV, C-I, D-II
  3. CA-IV, B-III, C-I, D-II
  4. DA-I, B-III, C-IV, D-II

Correct answer

B. A-III, B-IV, C-I, D-II

Step-by-step solution

Match physical quantities with dimensional formulas using fundamental principles. Magnetic Induction (A): From F = qvB , [B] = MLT⁻² AT LT⁻¹ = MT⁻²A⁻¹ = III Magnetic Flux (B): = BA , [ ] = MT⁻²A⁻¹ L^2 = ML^2T⁻²A⁻¹ = IV Magnetic Permeability (C): From B = H with [H] = ALT⁻¹ , [ ] = MT⁻²A⁻¹ AL⁻¹T⁻¹ = MLT⁻²A⁻² = I Self Inductance (D): From = L dI dt , [L] = ML^2T⁻³A⁻¹ AT⁻¹ = ML^2T⁻²A⁻² = II Correct matching: A-III, B-IV, C-I, D-II

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