Question

Match List I with List II

LIST I		LIST II
A	Surface tension	1	$kg{m}^{-1}{s}^{-1}$
B	Pressure	2	$kgm{s}^{-1}$
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 $=\frac{F}{\ell }=\frac{ML{T}^{-2}}{L}=M{I}^{-1}{T}^{-2}$
$=Kg{s}^{-2}(IV)$
(B) Pressure $=\frac{F}{A}=\frac{ML{T}^{-2}}{L^2}$
$=kg{m}^{-1}{s}^{-2}\text{ (III) }$
(C) Viscosity $=\frac{F}{A\left(\frac{dV}{dz}\right)}=\frac{ML{T}^{-2}}{L^2\left(\frac{L{T}^{-1}}{L}\right)}$
$=M{I}^{-1}{T}^{-1}=kg{m}^{-1}{s}^{-1}(I)$
(D) Impulse $=\int Fdt=ML{T}^{-2}\times T$
$=ML{T}^{-1}=Kgm{s}^{-1}\text{ (II) }$
So A-(IV), B-(III), C-(I), D- (II)