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Match List I with List II LIST I A. Torque B. Magnetic field C. Magnetic moment D. Permeability of free space LIST II I. [M^1 L^1 T^-2 A^-1] II. [L^2 A^1] III. [M^1 T^-2 A^-1] IV. [M^1 L^1 T^-2] Choose the correct answer from the options given below:
- A-I, B-III, C-II, D-IV
- A-IV, B-III, C-II, D-I
- A-III, B-I, C-II, D-IV
- A-IV, B-II, C-III, D-I
Correct answer: A-IV, B-III, C-II, D-I
Solution
The correct matches are based on the dimensional analysis of each term: Torque has dimensions of [M^1 L^1 T^-2], the magnetic field has dimensions of [M^1 T^-2 A^-1], the magnetic moment is represented by [L^2 A^1], and the permeability of free space is given by [M^1 L^1 T^-2 A^-1].
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