Match List - I with List - II. List - I List - II A. Boltzmann constant I. [M⁻¹L^3T⁻²] B. Stefan's constant II. [ML^2T⁻¹] C. Planck's constant III. [ML^2T⁻²K⁻¹] D. Gravitational constant IV. [ML^0T⁻³K⁻⁴] Choose the correct answer from the options given below :

Step-by-step solution

Boltzmann constant k : E = k T [k] = [ML^2T⁻²] [K] = [ML^2T⁻²K⁻¹] Stefan's constant : E At = T^4 [ ] = [ML^2T⁻²] [L^2][T][K^4] = [ML^0T⁻³K⁻⁴] Planck's constant h : E = h [h] = [ML^2T⁻²] [T⁻¹] = [ML^2T⁻¹] Gravitational constant G : F = Gm₁m₂ r^2 [G] = [MLT⁻²][L^2] [M^2] = [M⁻¹L^3T⁻²] Thus, A-III, B-IV, C-II, D-I. Answer: A-III, B-IV, C-II, D-I