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:

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Aicharya · Accepted Answer

R = L &#963; A &#963; = L R A = L I A V = L I A w I t = L L 2 I 2 T ML 2 T -2 = M - 1 L - 3 T 3 I 2 Alternative Solution: Sure, I'd be happy to explain this question. The question is asking for the dimensions of electrical conductivity. Electrical conductivity is the reciprocal of electrical resistivity. The formula for resistivity is given by $\rho = R \cdot \frac{A}{L}$, where $R$ is the resistance, $A$ is the cross-sectional area, and $L$ is the length. The dimensions of resistance $R$ are $[M L^2 T^{-3} I^{-2}]$, area $A$ is $[L^2]$, and length $L$ is $[L]$. So, the dimensions of resistivity are $[M L^2 T^{-3} I^{-2}] \cdot [L^{-2} L^{-1}] = [M L^{-3} T^{-3} I^{-2}]$. Since conductivity is the reciprocal of resistivity, its dimensions are the inverse of resistivity, which is $[M^{-1} L^3 T^3 I^2]$. This corresponds to the Option B in your question. So, the correct answer is Option B.

In the following I refers to current and other symbols have their usual meaning. Choose the option that…

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