Question

Match List-I with List-II. 

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

Hint:

In dimensional analysis, match the physical quantities with their corresponding dimensions based on the units involved.

Answer 1

The Correct Option is D

To establish the correspondence between List-I and List-II, the dimensional formulas for each physical quantity are determined.

1. Permeability of free space (A): The dimensional formula is \([M L T^{-2} A^{-2}]\). This corresponds to (III).
2. Magnetic field (B): The dimensional formula is \([M T^{-2} A^{-1}]\). This corresponds to (II).
3. Magnetic moment (C): The dimensional formula is \([L^2 A]\). This corresponds to (IV).
4. Torsional constant (D): The dimensional formula is \([M L^2 T^{-2}]\). This corresponds to (I).

The correct matching is:

(A)-(III), (B)-(II), (C)-(IV), (D)-(I).

The correct answer is: (A)-(III), (B)-(II), (C)-(IV), (D)-(I)