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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Units and Dimensions

NTA Abhyas 2020 · Physics · Units and Dimensions

Dimensions of permeability ( μ _ 0 ) are

Dimensions of permeability (μ0{μ}_{0}) are

Options

  1. A[A−2M1L1T−2]\left[A^{- 2}M^{1}L^{1}T^{- 2}\right]
  2. B[MLT−2]\left[MLT^{- 2}\right]
  3. C[ML0T−1]\left[ML^{0}T^{- 1}\right]
  4. D[A−1MLT2]\left[A^{- 1}MLT^{2}\right]

Correct answer

A. [A−2M1L1T−2]\left[A^{- 2}M^{1}L^{1}T^{- 2}\right]

Step-by-step solution

F=μ04π2I1I2lr⇒μ0=[F][A]−2=[MLT−2A−2]F = \dfrac{{μ}_{0}}{4\pi} \dfrac{2{I}_{1} {I}_{2} l}{r}⇒{μ}_{0} = [ F ] {[ A ]}^{- 2} = [ MLT^{- 2} A^{- 2} ]
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