Units & Dimensions

JEE Main level, single correct, medium

130 of 149

Question 130 of 149

In the following II 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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Answer: (B) M−1L−3T3I2{M}^{-1}{L}^{-3}{T}^{3}{I}^{2}

R=LσAR=\dfrac{L}{\sigma A}

σ=LRA\sigma =\dfrac{L}{RA}== LIAV\dfrac{LI}{AV}

=LIAwIt=\dfrac{LI}{Aw}It

=[LL2I2TML2T−2]=\left[\dfrac{L}{{L}^{2}}\dfrac{{I}^{2}T}{{ML}^{2}{T}^{-2}}\right]

=[M−1L−3T3I2]=\left[{M}^{-1}{L}^{-3}{T}^{3}{I}^{2}\right]

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