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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
he ratio of the coefficient of thermal conductivity of two different materials is $5 : 3$ . If the thermal resistance of the rod of same thickness resistance of the rods of same thickness of these materials is same, then the ratio of the length of these rods will be
  • A
    $3:5$
  • ✓
    $5:3$
  • C
    $3:4$
  • D
    $3 : 2$
✓

Answer

Correct option: B.
$5:3$
b
(b) Thermal resistances are same

==> $\frac{{{l_1}}}{{{K_1}{A_1}}} = \frac{{{l_2}}}{{{K_2}{A_2}}}$ ==> $\frac{{{l_1}}}{{{K_1}}} = \frac{{{l_2}}}{{{K_2}}}$   $(\because {A_1} = {A_2})$

==> $\frac{{{l_1}}}{{{l_2}}} = \frac{{{K_1}}}{{{K_2}}} = \frac{5}{3}$

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