Match List-I with List-II. List-I List-II (A) Gravitational constant (I) [ ML ² T ⁻¹] (B) Planck's constant (II) [ M ⁻¹ L ³ T ⁻²] (C) Coefficient of viscosity (III) [ M ⁰ L ² T ⁻² K ⁻¹] (D) Specific heat capacity (IV) [ ML ⁻¹ T ⁻¹] Choose the correct answer from the options given below:

Step-by-step solution

(A) Gravitational constant ( G ): F = G m₁ m₂ r^2 G = F r^2 m₁ m₂ Dimensions of G = [ MLT ⁻²][ L ^2] [ M ^2] = [ M ⁻¹ L ^3 T ⁻²] (B) Planck's constant ( h ): E = h h = E Dimensions of h = [ ML ^2 T ⁻²] [ T ⁻¹] = [ ML ^2 T ⁻¹] (C) Coefficient of viscosity ( ): F = A dv dx = F A ( dv dx ) Dimensions of = [ MLT ⁻²] [ L ^2][ T ⁻¹] = [ ML ⁻¹ T ⁻¹] (D) Specific heat capacity ( c ): Q = mc T c = Q m T Dimensions of c = [ ML ^2 T ⁻²] [ M ][ K ] = [ M ^0 L ^2 T ⁻² K ⁻¹] Therefore, the correct matching is (A)-(II), (B)-(I),