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JEE Advanced2018PhysicsUnits and DimensionsActual

Paragraph: In electromagnetic theory, the electric and magnetic phenomena are related to each other. Therefore, the dimensions of electric and magnetic quantities must also be related to each other. In the questions below, E a n d B stand for dimensions of electric and magnetic fields respectively, while [ ε 0 ] and [ μ 0 ] stand for dimensions of the permittivity and permeability of free space respectively

Options

  1. AE = B L T
  2. BE = B L - 1 T
  3. CE = B L T - 1
  4. DE = B L - 1 T - 1

Correct answer

C. E = B L T - 1

Step-by-step solution

We have E c = B ∴         [ B ] = [ E ] [ c ] = [ E ] [ L − 1 ] [ T 1 ] ⇒       [ E ] = [ B ] [ L ] [ T ] − 1

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