JEE Main 2016 · 9 Apr · Shift 1 · Physics Q1

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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^{-3}T^{-3}I^2

M^{-1}L^3T^3I

M^{-1}L^{-3}T^3I^2

M^{-1}L^{-3}T^3I

Answer and worked solution

Official answer: C

$\sigma=\frac1\rho$ with $\rho=\frac{RA}l$ and $R=\frac VI=[ML^2T^{-3}I^{-2}]$ . So $\rho=[ML^3T^{-3}I^{-2}]$ and $\sigma=[M^{-1}L^{-3}T^3I^2]$ .

Topics:Dimensional analysis Ohm's law and resistivity

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JEE Main 2016 · 9 Apr · Shift 1, Physics question 1