Question

Match the LIST-I with LIST-II 

Choose the correct answer from the options given below:

• A. A-II, B-IV, C-I, D-III
• B. A-I, B-IV, C-II, D-III
• C. A-II, B-I, C-IV, D-III
• D. A-III, B-II, C-IV, D-I

Hint:

Always derive dimensions using defining equations rather than memorizing them.

Answer 1

The Correct Option is A

Step 1: Identify dimensions of each physical quantity.
Spring constant: \[ k = \frac{F}{x} \Rightarrow [k] = ML^0T^{-2} \] Thermal conductivity: \[ [K] = MLT^{-3}K^{-1} \] Boltzmann constant: \[ [k_B] = ML^2T^{-2}K^{-1} \] Inductive reactance: \[ X_L = \omega L \Rightarrow ML^2T^{-3}A^{-2} \] Step 2: Match with LIST-II.
\[ \text{A-II,\; B-IV,\; C-I,\; D-III} \] Final Answer: \[ \boxed{\text{A-II, B-IV, C-I, D-III}} \]