Question

Match List I with List II

LIST I		LIST II
A	Surface tension	1	$kg\, m ^{-1}\, s ^{-1}$
B	Pressure	2	$kg \,ms ^{-1}$
C	Viscosity	3	$kg\, m ^{-1} \,s ^{-2}$
D	Impulse	4	$kg\, s ^{-2}$

Choose the correct answer from the options given below:

• A. A-III , B-IV , C-I , D-II
• B. A-IV, B-III, C-II, D-I
• C. A-IV , B-III , C-I , D-II
• D. A-II , B-I , C-III , D-IV

Answer 1

Answer: (C)

(A) Surface Tension $=\frac{ F }{\ell} =\frac{ MLT ^{-2}}{ L }= MI ^{-1} T ^{-2} $
$ = Kgs ^{-2}( IV )$
(B) Pressure $=\frac{ F }{ A }=\frac{ MLT ^{-2}}{ L ^2} $
$ = kg m ^{-1} s ^{-2} \text { (III) }$
(C) Viscosity $ =\frac{ F }{ A \left(\frac{ dV }{ dz }\right)}=\frac{ MLT ^{-2}}{ L ^2\left(\frac{ LT ^{-1}}{ L }\right)}$
$= MI ^{-1} T ^{-1}= kg \,m ^{-1} s ^{-1}( I )$
(D) Impulse $ =\int Fdt = MLT ^{-2} \times T$
$ = MLT ^{-1}= Kg \,ms ^{-1} \text { (II) }$
So A-(IV), B-(III), C-(I), D- (II)