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JEE Main 20169 AprilOnline
Exam
JEE Main
Year
2016
Date
9 April
Mode
Online
Subject
Physics
Chapter
Units and Dimensions

JEE Main 2016 · 9 April · Online · Physics · Units and Dimensions

In the following I refers to current and other symbols have their...

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:

Options

  1. AM−1L−3T3I{M}^{- 1}{L}^{- 3}{T}^{3}I
  2. BM−1L−3T3I2{M}^{- 1}{L}^{- 3}{T}^{3}{I}^{2}
  3. CM−1L3T3I{M}^{- 1}{L}^{3}{T}^{3}I
  4. DML−3T−3I2M{L}^{- 3}{T}^{- 3}{I}^{2}

Correct answer

B. M−1L−3T3I2{M}^{- 1}{L}^{- 3}{T}^{3}{I}^{2}

Step-by-step solution

R = \dfrac{L}{\sigmaA}<br/><br/><br /><br />\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]

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