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JEE Main 20204 SeptemberMorning Shift
Exam
JEE Main
Year
2020
Date
4 September
Shift
Morning Shift
Subject
Physics
Chapter
Units and Dimensions

JEE Main 2020 · 4 September · Morning Shift · Physics · Units and Dimensions

Dimensional formula for thermal conductivity is (here K denotes the...

Dimensional formula for thermal conductivity is (here K\text{K} denotes the temperature):

Options

  1. AMLT–2K{\text{MLT}}^{– 2}\text{K}
  2. BMLT–2K–2{\text{MLT}}^{– 2}{\text{K}}^{– 2}
  3. CMLT–3K{\text{MLT}}^{– 3}\text{K}
  4. DMLT–3K–1{\text{MLT}}^{– 3}{\text{K}}^{– 1}

Correct answer

D. MLT–3K–1{\text{MLT}}^{– 3}{\text{K}}^{– 1}

Step-by-step solution

k=(Q/t)\DeltaxA\DeltaTk = \dfrac{\left(Q / t\right)\Deltax}{A\DeltaT}

=M1L2T−2(L)L2K(T)=M1L1T−3K−1= \dfrac{{M}^{1}{L}^{2}{T}^{- 2}\left(L\right)}{{L}^{2}K\left(T\right)} = {M}^{1}{L}^{1}{T}^{- 3}{K}^{- 1}

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