Question

Match the Column I with Column II.

Column I (Units)		Column II (Dimensional formulae)
(A)	$Pas$	(p)	$[M^0{L}^2{T}^{-2}{K}^{-1}]$
(B)	$Nm{K}^{-1}$	(q)	$[ML{T}^{-3}{K}^{-1}]$
(C)	$Jk{g}^{-1}{K}^{-1}$	(r)	$[M{L}^{-1}{T}^{-1}]$
(D)	$W{m}^{-1}{K}^{-1}$	(s)	$[M{L}^2{T}^{-2}{K}^{-1}]$

• A. $A-q$, $B-p$, $C-r$, $D-s$
• B. $A-p$, $B-q$, $C-s$, $D-r$
• C. $A-r$, $B-s$, $C-p$, $D-q$
• D. $A-s$, $B-r$, $C-q$, $D-p$

Answer 1

Answer: (C)

$\left(A\right)Pas=\left[M{L}^{-1}{T}^{-2}\right]\left[T\right]=\left[M{L}^{-1}{T}^{-1}\right]$
$A-r$
$\left(B\right)Nm{K}^{-1}=\frac{\left[ML{T}^{-2}\right]\left[L\right]}{\left[K\right]}=\left[M{L}^2{T}^{-2}{K}^{-1}\right]$
$B-s$
$\left(C\right)Jk{g}^{-1}{K}^{-1}=\frac{\left[M{L}^2{T}^{-2}\right]}{\left[M\right]\left[K\right]}=\left[M^0{L}^2{T}^{-2}{K}^{-1}\right]$
$C-p$
$\left(D\right)W{m}^{-1}{K}^{-1}=\frac{\left[M{L}^2{T}^{-3}\right]}{\left[L\right]\left[K\right]}=\left[ML{T}^{-3}{K}^{-1}\right]$
$D-p$