Names of units of some physical quantities are given in List-I and their dimensions formulae are given in List-Il. Match the correct pairs in the lists array ll|ll & List-I & List-II A. & Pa - s & (i) & [ L ^2 ~T ⁻² ~K ⁻¹ ] B. & NmK ⁻¹ & (ii) & [ MLT ⁻³ ~K ⁻¹ ] C. & J kg ⁻¹ ~K ⁻¹ & (iii) & [ ML ⁻¹ ~T ⁻¹ ] D. & Wm ⁻¹ ~K ⁻¹ & (iv) & [ ML ^2 ~T ⁻² ~K ⁻¹ ] array array llll A & B & C & D array

Step-by-step solution

Dimensions of Pa-s is aligned & = [ ML ⁻¹ ~T ⁻² ] [ T ] & = [ ML ⁻¹ ~T ⁻¹ ] aligned Dimensions of NmK ⁻¹ is aligned & = [ MLT ⁻² ][ L ][ K ]⁻¹ & = [ ML ^2 ~T ⁻² ~K ⁻¹ ] aligned Dimensions of Jkg ⁻¹ ~K ⁻¹ aligned & = [ ML ^2 ~T ⁻² ][ M ]⁻¹[ ~K ]⁻¹ & = [ L ^2 ~T ⁻² ~K ⁻¹ ] aligned Dimensions of Wm ⁻¹ ~K ⁻¹ aligned & = [ ML ^2 ~T ⁻³ ][ L ]⁻¹[ ~K ]⁻¹ & = [ MLT ⁻³ ~K ⁻¹ ] aligned So, the correct matching is (iii), (iv), (i), (ii), hence the answer is (d).