JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
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) \(\left[\mathrm{L}^2 \mathrm{~A}\right]\) |
- 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)
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)…
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