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

Gujarat BoardEnglish MediumSTD 11 SciencePhysics10.2 , transmission of heat1 Mark
MCQ
A slab consists of two parallel layers of copper and brass of the same thickness and having thermal conductivities in the ratio $1 : 4$ . If the free face of brass is at ${100^o}C$ and that of copper at $0^\circ C $, the temperature of interface is ........ $^oC$
  • ✓
    $80$
  • B
    $20$
  • C
    $60$
  • D
    $40$
✓

Answer

Correct option: A.
$80$
a
(a) Temperature of interface $\theta = \frac{{{K_1}{\theta _1} + {K_2}{\theta _2}}}{{{K_1} + {K_2}}}$

$(\because \,\frac{{{K_1}}}{{{K_2}}} = \frac{1}{4} \Rightarrow  \,\,If\,\, K_1 = K \,\,then \,\,K_2 = 4K)$

==> $\theta = \frac{{K \times 0 + 4K \times 100}}{{5\,K}}$= $80°C$

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