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Match List-I with List-II. List-I (A) Permeability of free space (B) Magnetic field (C) Magnetic moment (D) Torsional constant List-II (I) [M L^2 T^-2] (II) [M T^-2 A^-1] (III) [M L T^-2 A^-2] (IV) [L^2 A] Choose the correct answer from the options given below :
- (A)-(I), (B)-(IV), (C)-(II), (D)-(III)
- (A)-(II), (B)-(I), (C)-(III), (D)-(IV)
- (A)-(IV), (B)-(III), (C)-(I), (D)-(II)
- (A)-(III), (B)-(II), (C)-(IV), (D)-(I)
Correct answer: (A)-(III), (B)-(II), (C)-(IV), (D)-(I)
Solution
The correct option matches each physical quantity with its appropriate dimensional formula: Permeability of free space has dimensions of [M L T^-2 A^-2], the magnetic field is represented by [M T^-2 A^-1], the magnetic moment is expressed as [L^2 A], and the torsional constant is denoted by [M L^2 T^-2]. This alignment accurately reflects the fundamental relationships in electromagnetism and mechanics.
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