Question

Match the following pairs:
$\begin{array}{ccc}& \text{Equation}& \text{Physical Interpretation}\\ \text{P}& \nabla \times \overrightarrow{V}=0& \text{I. Incompressible}\\ & & \text{continuity equation}\\ \text{Q}& \nabla .\overrightarrow{V}=0& \text{II. Steady flow}\\ \text{R}& \frac{\Delta \overrightarrow{V}}{\Delta t}=0& \text{III. Irrotational flow}\\ \text{S}& \frac{\partial \overrightarrow{V}}{\partial t}=0& \text{IV. Zero acceleration}\\ & & \text{of fluid particles}\end{array}$

• A. P-IV,Q-I,R-II,S-III
• B. P-IV,Q-III,R-I,S-II
• C. P-III,Q-I,R-IV,S-II
• D. P-III,Q-I,R-II,S-IV

Answer 1

The correct option is C P-III,Q-I,R-IV,S-II

• $\nabla \times \overrightarrow{V}=0\to$ Irrotational flow
• $\nabla .\overrightarrow{V}=0\to$ Incompressible continuity eq.
• $\frac{\Delta \overrightarrow{V}}{\Delta t}=0\to Zeroaccelerationoffluidparticle$
• $\frac{\partial \overrightarrow{V}}{\partial t}=0\to Steadyflow$