JEE Mains · Physics · STD 11 - Units,dimensions and measurement
- JEE Mains 2025
- Easy
- MCQ
Match List - I with List - II.
| List - I | List - II |
| (A) Permeability of free space | (I) \(\left[\mathrm{M} \mathrm{~L}^2 \mathrm{~T}^{-2}\right]\) |
| (B) Magnetic field | (II) \(\left[\mathrm{M} \mathrm{~T}^{-2} \mathrm{~A}^{-1}\right]\) |
| (C) Magnetic moment | (III) \(\left[\mathrm{M} \mathrm{~L} \mathrm{~T}^{-2} \mathrm{~A}^{-2}\right]\) |
| (D) Torsional constant | (IV) \(\left[\mathrm{L}^2 \mathrm{~A}\right]\) |
Pick an option to check your answer.
Answer & Solution
Correct Answer
(B) (A)-(III), (B)-(II), (C)-(IV), (D)-(I)
Step-by-step Solution
Detailed explanation
(A) \(B=\frac{\mu_0 i}{2 \pi r} \& q v B=F\)
\(\mu_0 \equiv \frac{B r}{i} \equiv \frac{F r}{q v i} \equiv \frac{\mathrm{MLT}^{-2} \times L}{\mathrm{~A}^2 \mathrm{TLT}^{-1}} \equiv \mathrm{MLT}^{-2} A^{-2}\)
(B) \(B \equiv \frac{F}{q V} \equiv \frac{\mathrm{MLT}^{-2}}{\mathrm{ATLT}^{-1}}=\mathrm{MT}^{-2} \mathrm{~A}^{-1}\)
(C) \(M=i A \equiv \mathrm{AL}^2\)
(D) \(\tau=C \theta \Rightarrow C \equiv \mathrm{ML}^2 \mathrm{~T}^{-2}\)
\(\mu_0 \equiv \frac{B r}{i} \equiv \frac{F r}{q v i} \equiv \frac{\mathrm{MLT}^{-2} \times L}{\mathrm{~A}^2 \mathrm{TLT}^{-1}} \equiv \mathrm{MLT}^{-2} A^{-2}\)
(B) \(B \equiv \frac{F}{q V} \equiv \frac{\mathrm{MLT}^{-2}}{\mathrm{ATLT}^{-1}}=\mathrm{MT}^{-2} \mathrm{~A}^{-1}\)
(C) \(M=i A \equiv \mathrm{AL}^2\)
(D) \(\tau=C \theta \Rightarrow C \equiv \mathrm{ML}^2 \mathrm{~T}^{-2}\)
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