Physical World Units and Measurements - Result Question 1

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1. The unit of thermal conductivity is : [2019]

======= ####1. The unit of thermal conductivity is : [2019]

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/physical-world-units-and-measurements/physical-world-units-and-measurements—result-question-1.md (a) $J m K^{-1}$

(c) $W m K^{-1}$

(b) $J m^{-1} K^{-1}$

(d) $W m^{-1} K^{-1}$

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Solution:

  1. (d) In steady state, the amount of heat flowing from one face to the other face in time $d t$ is given by

$H=\frac{kA(T_1-T_2) dt}{\ell}$

$\Rightarrow \frac{dH}{dt}=\frac{kA}{\ell} \Delta T(k=$ coefficient of thermal conductivity)

$\therefore k=\frac{\ell dH}{Adt \Delta T}$

Unit of $k=Wm^{-1} K^{-1}$