Units & Dimensions

JEE Main level, single correct, medium

102 of 149

Question 102 of 149

Match List - I with List - II : List - I List - II a Magnetic induction i ML2T−2A−1{ML}^{2}{T}^{-2}{A}^{-1} b Magnetic flux ii M0L−1A{M}^{0}{L}^{-1}A c Magnetic permeability iii MT−2A−1{MT}^{-2}{A}^{-1} d Magnetization iv MLT−2A−2{MLT}^{-2}{A}^{-2} Choose the most appropriate answer from the options given below :

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Answer: (B) (a)−(iii),(b)−(i),(c)−(iv),(d)−(ii)(a)-(iii),(b)-(i),(c)-(iv),(d)-(ii)

The dimension of magnetic induction is, MT−2A−1{MT}^{-2}{A}^{-1}, the dimension of magnetic flux is, ϕ=B⃗⋅A⃗⇒[ϕ]=ML2T−2A−1\phi =\vec{B}\cdot \vec{A}\Rightarrow \left[\phi \right]={ML}^{2}{T}^{-2}{A}^{-1}, the dimension of magnetic permeability, MLT−2A−2{MLT}^{-2}{A}^{-2} and, the dimension of magnetization, M0L−1A{M}^{0}{L}^{-1}A.

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