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 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]

Question

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 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] (A) A - (iv), B - (iii),C - (i),D - (ii) (B) A - (iii),B - (ii), C - (iv), D - (i) (C) A - (iii),B - (i), C - (iv), D - (ii) (D) A - (iii), B - (iv), C - (i),D - (ii)

Tardigrade Admin · Accepted Answer

Dimensions of Pa-s is =[ ML -1 T -2] ⋅[ T ] =[ ML -1 T -1] Dimensions of NmK -1 is =[ MLT -2][ L ][ K ]-1 =[ ML 2 T -2 K -1] Dimensions of Jkg -1 K -1 =[ ML 2 T -2][ M ]-1[ K ]-1 =[ L 2 T -2 K -1] Dimensions of Wm -1 K -1 =[ ML 2 T -3][ L ]-1[ K ]-1 =[ MLT -3 K -1] So, the correct matching is (iii), (iv), (i), (ii),

List-I		List-II
A	$P a - s$	(i)	$[L^{2} T^{- 2} K^{- 1}]$
B	$N m K^{- 1}$	(ii)	$[M L T^{- 3} K^{- 1}]$
C	$J k g^{- 1} K^{- 1}$	(iii)	$[M L^{- 1} T^{- 1}]$
D	$W m^{- 1} K^{- 1}$	(iv)	$[M L^{2} T^{- 2} K^{- 1}]$

Q. 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 List-I List-II A Pa−s (i) [L2T−2K−1] B NmK−1 (ii) [MLT−3K−1] C Jkg−1K−1 (iii) [ML−1T−1] D Wm−1K−1 (iv) [ML2T−2K−1]

A - (iv), B - (iii),C - (i),D - (ii)

A - (iii),B - (ii), C - (iv), D - (i)

A - (iii),B - (i), C - (iv), D - (ii)

A - (iii), B - (iv), C - (i),D - (ii)