Question

Match the column

• A. A \( \rightarrow \) R; B \( \rightarrow \) P; C \( \rightarrow \) S; D \( \rightarrow \) S
• B. A \( \rightarrow \) T; B \( \rightarrow \) P; C \( \rightarrow \) U; D \( \rightarrow \) S
• C. A \( \rightarrow \) R; B \( \rightarrow \) T; C \( \rightarrow \) Q; D \( \rightarrow \) Q
• D. A \( \rightarrow \) T; B \( \rightarrow \) U; C \( \rightarrow \) S; D \( \rightarrow \) Q

Hint:

Ensure that the dimensions of physical quantities are checked thoroughly when matching terms in dimensional analysis.

Answer 1

The Correct Option is A

Step 1: Matching dimensions.
- Thermal Conductivity has dimensions \( [MLT^{-3}K^{-1}] \), which matches with (R). - Boltzmann constant has dimensions \( [M L^1 T^{-2}] \), which matches with (P). - Spring constant has dimensions \( [M L^1 T^{-3} K^{-1}] \), which matches with (S). - Surface tension has dimensions \( [M L^1 T^{-2}] \), which matches with (S). Step 2: Conclusion.
From this, the correct matching is (1). Final Answer: \[ \boxed{\text{A } \rightarrow \text{R; B } \rightarrow \text{P; C } \rightarrow \text{S; D } \rightarrow \text{S}} \]