Match List - I with List - II.
| List - I | List - II |
| (A) \( 1\,\mathrm{T} \) | (I) \( \mathrm{V\,s} \) |
| (B) \( 1\,\mathrm{H} \) | (II) \( 1\,\mathrm{m^2\,A} \) |
| (C) \( \mathrm{J\,T^{-1}} \) | (III) \( \mathrm{Wb/m^2} \) |
| (D) \( 1\,\mathrm{Wb} \) | (IV) \( \mathrm{Wb/A} \) |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → (A)-(III), (B)-(IV), (C)-(II), (D)-(I)
Each unit follows from the defining relation of its quantity.
(A) \( 1\,\mathrm{T} \) — this matches (III) \( \mathrm{Wb/m^2} \). The tesla is the unit of magnetic field, which is the magnetic flux per unit area, \( B = \Phi/A \).
(B) \( 1\,\mathrm{H} \) — this matches (IV) \( \mathrm{Wb/A} \). The henry is the unit of inductance, the flux linked per unit current, \( L = \Phi/I \).
(C) \( \mathrm{J\,T^{-1}} \) — this matches (II) \( 1\,\mathrm{m^2\,A} \). Joule per tesla is the unit of magnetic moment: from \( U = -\vec{m}\cdot\vec{B} \), \( m = U/B \). The magnetic moment of a loop is also \( m = IA \), with the unit \( \mathrm{A\,m^2} \), so the two units are the same.
(D) \( 1\,\mathrm{Wb} \) — this matches (I) \( \mathrm{V\,s} \). By Faraday's law \( \varepsilon = -d\Phi/dt \), so flux has the unit of emf times time, volt second.
NCERT (2026-27):
Magnetic Flux – “… The SI unit of magnetic flux is weber (Wb) or tesla meter squared (T m2). Magnetic flux is a scalar quantity.”
Inductance – “… Inductance is a scalar quantity. It has the dimensions of [M L2 T–2 A–2] given by the dimensions of flux divided by the dimensions of current. The SI unit of inductance is henry and is denoted by H.”