Single Choice

The dimensions of specific resistance are:

A$$[ML^{-2}A^{-1}]$$
B$$[ML^3T^{-3}A^{-2}]$$
Correct Answer
C$$[ML^3T^{-2}A^{-1}]$$
D$$[ML^2T^{-2}A^{-2}]$$

Solution

Resistance of a substance=$$R=\rho\dfrac{l}{A}$$
$$\implies \rho=\dfrac{RA}{l}$$
$$=\dfrac{V}{I}\dfrac{A}{l}$$
Dimension of $$V$$ is $$[ML^2T^{-3}A^{-1}]$$
Dimension of $$I$$ is $$[A]$$
Dimension of $$A$$ is $$[L^2]$$
Dimenstion of $$l$$ is $$[L]$$
Thus dimension of $$\rho$$ is $$[ML^{3}T^{-3}A^{-2}]$$

SIMILAR QUESTIONS

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