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Question

Which of the following physical quantities belongs to dimension MLT-2A-2?

The correct answer is

Permeability of free space

From \(B=\mu_0 I/(2\pi r)\),

\([\mu_0]=[B][L]/[I]=[MT^{-2}I^{-1}][L]/[I]=[MLT^{-2}I^{-2}].\)

Thus the quantity is permeability of free space.

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Important Questions from Dimensions of physical quantities

  1. The dimensional formula of force:

  2. The dimensional formula of force:
  3. Which of the following is dimensionless?
  4. The distance covered by a particle in time '$t$' is given by $s = at + bt^2$ where 'a' and 'b' are two constants. The dimensional formula of 'b' is:
  5. What is the SI unit for measuring the luminous intensity?

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