Question:
Match the law/principle with the concerned application:
\[
\begin{array}{|c|c|}
\hline
\textbf{Application} & \textbf{Law / Principle} \\
\hline
a)\ \text{Hydraulic Lift} & i)\ \text{Bernoulli's Principle} \\
\hline
b)\ \text{Speed of Efflux} & ii)\ \text{Torricelli's Law} \\
\hline
c)\ \text{Dynamic Lift} & iii)\ \text{Stoke's Law} \\
\hline
d)\ \text{Viscous Drag Force} & iv)\ \text{Pascal's Law} \\
\hline
\end{array}
\]
Match the law/principle with the concerned application:
\[
\begin{array}{|c|c|}
\hline
\textbf{Application} & \textbf{Law / Principle} \\
\hline
a)\ \text{Hydraulic Lift} & i)\ \text{Bernoulli's Principle} \\
\hline
b)\ \text{Speed of Efflux} & ii)\ \text{Torricelli's Law} \\
\hline
c)\ \text{Dynamic Lift} & iii)\ \text{Stoke's Law} \\
\hline
d)\ \text{Viscous Drag Force} & iv)\ \text{Pascal's Law} \\
\hline
\end{array}
\]
Show Hint
Remember the standard applications:
\[
\text{Pascal} \rightarrow \text{Hydraulic Lift},
\]
\[
\text{Torricelli} \rightarrow \text{Efflux Velocity},
\]
\[
\text{Bernoulli} \rightarrow \text{Dynamic Lift},
\]
\[
\text{Stoke} \rightarrow \text{Viscous Drag}.
\]
Updated On: Jul 29, 2026
- \[ a-i,\ b-ii,\ c-iii,\ d-iv \]
- \[ a-i,\ b-iv,\ c-ii,\ d-iii \]
- \[ a-iv,\ b-i,\ c-iii,\ d-ii \]
- \[ a-iv,\ b-ii,\ c-i,\ d-iii \]
Show Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Concept:
Match each application with the physical law on which it is based.
Step 1: Match Hydraulic Lift. A hydraulic lift works on the transmission of pressure equally in all directions through a confined fluid. \[ \boxed{\text{Hydraulic Lift} \rightarrow \text{Pascal's Law}} \] Hence, \[ a \rightarrow iv. \]
Step 2: Match Speed of Efflux. The speed with which a liquid emerges from an orifice is given by Torricelli's theorem. \[ v=\sqrt{2gh}. \] \[ \boxed{\text{Speed of Efflux} \rightarrow \text{Torricelli's Law}} \] Hence, \[ b \rightarrow ii. \]
Step 3: Match Dynamic Lift. The lift on an aircraft wing is explained using Bernoulli's principle. \[ \boxed{\text{Dynamic Lift} \rightarrow \text{Bernoulli's Principle}} \] Hence, \[ c \rightarrow i. \]
Step 4: Match Viscous Drag Force. The viscous drag force acting on a sphere moving through a fluid is given by Stoke's law. \[ F=6\pi\eta rv. \] \[ \boxed{\text{Viscous Drag Force} \rightarrow \text{Stoke's Law}} \] Hence, \[ d \rightarrow iii. \]
Step 5: Write the final matching. \[ a-iv,\qquad b-ii,\qquad c-i,\qquad d-iii. \] Therefore, \[ \boxed{ a-iv,\ b-ii,\ c-i,\ d-iii } \] \[ \boxed{\text{Answer = (D)}} \]
Step 1: Match Hydraulic Lift. A hydraulic lift works on the transmission of pressure equally in all directions through a confined fluid. \[ \boxed{\text{Hydraulic Lift} \rightarrow \text{Pascal's Law}} \] Hence, \[ a \rightarrow iv. \]
Step 2: Match Speed of Efflux. The speed with which a liquid emerges from an orifice is given by Torricelli's theorem. \[ v=\sqrt{2gh}. \] \[ \boxed{\text{Speed of Efflux} \rightarrow \text{Torricelli's Law}} \] Hence, \[ b \rightarrow ii. \]
Step 3: Match Dynamic Lift. The lift on an aircraft wing is explained using Bernoulli's principle. \[ \boxed{\text{Dynamic Lift} \rightarrow \text{Bernoulli's Principle}} \] Hence, \[ c \rightarrow i. \]
Step 4: Match Viscous Drag Force. The viscous drag force acting on a sphere moving through a fluid is given by Stoke's law. \[ F=6\pi\eta rv. \] \[ \boxed{\text{Viscous Drag Force} \rightarrow \text{Stoke's Law}} \] Hence, \[ d \rightarrow iii. \]
Step 5: Write the final matching. \[ a-iv,\qquad b-ii,\qquad c-i,\qquad d-iii. \] Therefore, \[ \boxed{ a-iv,\ b-ii,\ c-i,\ d-iii } \] \[ \boxed{\text{Answer = (D)}} \]
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