Match List - I with List - II. List - I List - II A. Boltzmann constant I. [M^ -1 L^3T^ -2 ] B. Stefan's constant II. [ML^2T^ -1 ] C. Planck's constant III. [ML^2T^ -2 K^ -1 ] D. Gravitational constant IV. [ML^0T^ -3 K^

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Correct answer: C. A-III, B-IV, C-II, D-I

Boltzmann constant k : E = k T [k] = [ML^2T^ -2 ] [K] = [ML^2T^ -2 K^ -1 ] Stefan's constant σ : (E)/(At) = σ T^4 [σ] = [ML^2T^ -2 ] [L^2][T][K^4] = [ML^0T^ -3 K^ -4 ] Planck's constant h : E = h [h] = [ML^2T^ -2 ] [T^ -1 ] = [ML^2T^ -1 ] Gravitational constant G : F = (Gm_1m_2)/(r^2) [G] = [MLT^ -2 ][L^2] [M^2] = [M^ -1 L^3T^ -2 ] Thus, A-III, B-IV, C-II, D-I. Answer: A-III, B-IV, C-II, D-I

Match List - I with List - II. List - I List - II A. Boltzmann...

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More from Units and Dimensions

List - I	List - II
A. Boltzmann constant	I. $[M^{-1}L^3T^{-2}]$
B. Stefan's constant	II. $[ML^2T^{-1}]$
C. Planck's constant	III. $[ML^2T^{-2}K^{-1}]$
D. Gravitational constant	IV. $[ML^0T^{-3}K^{-4}]$