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Match the List-I with List-II ( array ||c|l||c||l|| & List-I & & List-II A. & Spring constant & I. & M L² T⁻² K⁻¹ B. & Thermal conductivity & II. & M L⁰ T⁻² C. & Boltzmann constant & III. & M L² T⁻³ A⁻² D. & Inductive reactance & IV. & M L T⁻³ K⁻¹ array ) Choose the correct answer from the options given below:

Options

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

Correct answer

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

Step-by-step solution

A. Spring constant: F = kx [k] = MLT⁻²/L = ML^0T⁻² II B. Thermal conductivity: Q/t = KA(dT/dx) [K] = ML^2T⁻³/(L^2 K/L) = MLT⁻³K⁻¹ IV C. Boltzmann constant: E = k_BT [k_B] = ML^2T⁻²K⁻¹ I D. Inductive reactance: same dimension as resistance = ML^2T⁻³A⁻² III Matching: A-II, B-IV, C-I, D-III.

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