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MHT CET · Physics · Units and Dimensions

The dimensions of magnetic intensity are

  1. A \(\left[\begin{array}{llll}{\left[\mathrm{L}^{1}\right.} & \mathrm{M}^{0} & \mathrm{~T}^{1} & \mathrm{I}^{1}\end{array}\right]\)
  2. B \(\left[\begin{array}{lll}\mathrm{L}^{1} & \mathrm{M}^{0} & \mathrm{~T}^{0} & \mathrm{I}^{-1}\end{array}\right]\)
  3. C \(\left[\begin{array}{lll}\mathrm{L}^{-1} & \mathrm{M}^{0} & \mathrm{~T}^{0} & \mathrm{I}^{1}\end{array}\right]\)
  4. D \(\left[\begin{array}{llll}\mathrm{L}^{2} & \mathrm{M}^{1} & \mathrm{~T}^{0} & \mathrm{I}^{1}\end{array}\right]\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\left[\begin{array}{lll}\mathrm{L}^{-1} & \mathrm{M}^{0} & \mathrm{~T}^{0} & \mathrm{I}^{1}\end{array}\right]\)

Step-by-step Solution

Detailed explanation

\(H = \frac{\text{Current}}{\text{Length}}\) \([\text{H}] = \frac{[\text{I}]}{[\text{L}]} = [\text{L}^{-1}\text{I}^{1}] = [\text{M}^{0}\text{L}^{-1}\text{T}^{0}\text{I}^{1}]\)