Question

Match List-1 with List-2 select the correct answer using the code given below the lists:
List-1
A. Specific Gravity
B. Coefficient of viscosity
C. Kinematic viscosity
D. Stress

List-2
1. $M^{\circ }{L}^2{T}^{-1}$
2. $M^{\circ }{L}^o{T}^o$
3. $M{L}^{-1}{T}^{-1}$
4. $M{L}^{-1}{T}^{-2}$

• A. A-2, B-3, C-1, D-4
• B. A-4. B-3, C-1, D-2
• C. A-2, B-1, C-3, D-4
• D. A-4, B-1, C-3, D-2

Answer 1

The correct option is A A-2, B-3, C-1, D-4

Specific gravity is the ratio of specific weight of a fluid to the specific weight of a standard fluid. Being a ratio of two quantities with same units, specific gravity has no unit.
$\therefore M^{\circ }{L}^{\circ }{T}^{\circ }$

Coefficient of viscosity = $\mu$
unit of $\mu$ = Ns/$m^2$
= (ML$T^{-2})$T/$L^2$
=$M{L}^{-1}{T}^{-1}$
Kinematic viscosity
$\nu =\frac{\mu }{\rho }$
unit of $\nu =m^2/s=L^2{T}^{-1}=M^o{L}^2{T}^{-1}Stress=\frac{Force}{Area}=\frac{ML{T}^{-2}}{L^2}=M{L}^{-1}{T}^{-2}$