Single Choice

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:

A$$M{L}^{-3}{T}^{-3}{I}^{2}$$
B$${M}^{-1}{L}^{-3}{T}^{3}{I}^{2}$$
Correct Answer
C$${M}^{-1}{L}^{3}{T}^{3}I$$
D$${M}^{-1}{L}^{-3}{T}^{3}I$$

Solution

Conductivity has relation, $$\sigma =\dfrac { l }{ AR } =\dfrac { lI }{ AV } $$.

V has dimension $$[M{ L }^{ 2 }{ T }^{ -3 }{ I }^{ -1 }]$$. Hence dimension of $$\sigma$$ is $$[{ M }^{ -1 }{ L }^{ -3 }{ T }^{ 3 }{ I }^{ 2 }]$$.

SIMILAR QUESTIONS

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