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Question:

In the following, I refers to current and other symbols have their usual meaning. Choose the option that corresponds to the dimensions of electrical conductivity.

ML⁻¹T⁻¹I²

ML⁻¹T³I

ML³T³I

ML⁻¹T³I²

Solution:

Conductivity has relation, σ=lAR=lIAV. V has dimension [ML²T⁻¹I⁻¹]. Hence dimension of σ is [ML⁻¹T³I²].