Match List-I with List-II. List-I List-II (A) Planck's constant / Moment of inertia (I) [M^2 L⁻¹ T^0] (B) Pressure / Density (II) [M^0 L^0 T⁻¹] (C) Energy / Gravitational constant (III) [M^0 L^2 T⁻²] (D) Coefficient of viscosity / Density (IV) [M^0 L^2 T⁻¹] Choose the correct answer from the options given below:

Step-by-step solution

Let us find the dimensional formula for each ratio in List-I: (A) Planck's constant ( h ) / Moment of inertia ( I ): [h] = [M L^2 T⁻¹] and [I] = [M L^2] Ratio = [M L^2 T⁻¹] [M L^2] = [M^0 L^0 T⁻¹] (Matches with II) (B) Pressure ( P ) / Density ( ): [P] = [M L⁻¹ T⁻²] and [ ] = [M L⁻³] Ratio = [M L⁻¹ T⁻²] [M L⁻³] = [M^0 L^2 T⁻²] (Matches with III) (C) Energy ( E ) / Gravitational constant ( G ): [E] = [M L^2 T⁻²] and [G] = [M⁻¹ L^3 T⁻²] Ratio = [M L^2 T⁻²] [M⁻¹ L^3 T⁻²] = [M^2 L⁻¹ T^0] (Matches with I) (D) Coefficien