Q. Match List - I with List - II. [table] List - I | List - II ; (A) Permeability of free space | (I) [M L² T⁻²] ; (B) Magnetic field | (II) [M T⁻² A⁻¹] ; (C) Magnetic moment | (III) [M L T⁻² A⁻²] ; (D) Torsional constant | (IV) [L² A] [/table] Choose the correct answer from the options given below :
A) (A)-(IV), (B)-(III), (C)-(I), (D)-(II)
B) (A)-(III), (B)-(II), (C)-(IV), (D)-(I)
C) (A)-(I), (B)-(IV), (C)-(II), (D)-(III)
D) (A)-(II), (B)-(I), (C)-(III), (D)-(IV)
Explanation
[Solution by Dr. Abubacker] $\mu_0=\frac{F}{I^2}$: $[MLT^{-2}A^{-2}]$ (III). $B=\frac F{IL}$: $[MT^{-2}A^{-1}]$ (II). Magnetic moment $=IA$: $[L^2A]$ (IV). Torsional constant has the dimension of torque, $[ML^2T^{-2}]$ (I). Answer (2).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.