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10.2 , transmission of heat — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysics10.2 , transmission of heat1 Mark
MCQ
A slab consists of two parallel layers of two different materials of same thickness having thermal conductivities $K_1$ and $K_2$ . The equivalent conductivity of the combination is
  • A
    ${K_1} + {K_2}$
  • ✓
    $\frac{{{K_1} + {K_2}}}{2}$
  • C
    $\frac{{2{K_1}{K_2}}}{{{K_1} + {K_2}}}$
  • D
    $\frac{{{K_1} + {K_2}}}{{2{K_1}{K_2}}}$
✓

Answer

Correct option: B.
$\frac{{{K_1} + {K_2}}}{2}$
b
(b) In parallel combination equivalent conductivity
$K = \frac{{{K_1}{A_1} + {K_2}{A_2}}}{{{A_1} + {A_2}}} = \frac{{{K_1} + {K_2}}}{2}$ (As ${A_1} = {A_2}$)

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