Match the LIST-I with LIST-II
List-I
A. Spring constant
B. Thermal conductivity
C. Boltzmann constant
D. Inductive reactance
List-II I. ML²T⁻²K⁻¹ II. ML⁰T⁻² III. ML²T⁻³A⁻² IV. MLT⁻³K⁻¹
Choose the correct answer from the options given below:

Question

Match the LIST-I with LIST-II

List-I
A. Spring constant
B. Thermal conductivity
C. Boltzmann constant
D. Inductive reactance

List-II I. ML²T⁻²K⁻¹ II. ML⁰T⁻² III. ML²T⁻³A⁻² IV. MLT⁻³K⁻¹

Choose the correct answer from the options given below:

G1 Physics · Accepted Answer

A. Spring constant From F = kx, [k] = [F]/[x] = MLT⁻²/L = ML⁰T⁻². Therefore, A → II. B. Thermal conductivity From the heat-conduction relation, dQ/dt = kA(ΔT)/L. Therefore, [k] = [power][length]/([area][temperature]) = (ML²T⁻³)(L)/(L²K) = MLT⁻³K⁻¹. Hence, B → IV. C. Boltzmann constant Energy is related to temperature by E = k(B)T. Therefore, [k(B)] = [energy]/[temperature] = ML²T⁻²K⁻¹. Thus, C → I. D. Inductive reactance Reactance has the dimensions of resistance: [X] = [V]/[I] = ML²T⁻³A⁻². Hen…

Match the LIST-I with LIST-II List-I A. Spring constant B. Thermal conductivity C. Boltzmann constant D. Inductive reactance List-II I. ML²T⁻²K⁻¹ II. ML⁰T⁻² III. ML²T⁻³A⁻² IV. MLT⁻³K⁻¹ Choose the correct answer from the options given below: