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JEE Main20238 Apr 2023Morning ShiftPhysicsUnits and DimensionsActual

Dimension of 1 μ 0 ε 0 should be equal to

Options

  1. AL   T - 1
  2. BT 2   L - 2
  3. CL 2   T - 2
  4. DT   L - 1

Correct answer

C. L 2   T - 2

Step-by-step solution

The speed of light can be written as c = 1 μ 0 ε 0       . . . 1 Rearrange equation (1) to obtain the required quantity. 1 μ 0 ε 0 = c 2       . . . 2 Use the method of dimensional analysis to obtain the dimension of the required quantity. 1 μ 0 ε 0 = L T - 1 2 = L 2   T - 2

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