JEE Main202523 Jan 2025Evening ShiftPhysicsUnits and DimensionsActual
Match List - I with List - II. array llll & List - I & & List - II (A) & Permeability of free space & (I) [ M ~L ^2 ~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) [ L ^2 ~A ] array Choose the correct answer from the options given below :
Options
- 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)
Correct answer
B. (A)-(III), (B)-(II), (C)-(IV), (D)-(I)
Step-by-step solution
(A) B= ₀ i 2 r & q v B=F ₀ B r i F r q v i MLT ⁻² L ~A ^2 TLT ⁻¹ MLT ⁻² A⁻² (B) B F q V MLT ⁻² ATLT ⁻¹ = MT ⁻² ~A ⁻¹ (C) M=i A AL ^2 (D) =C C ML ^2 ~T ⁻²