The coefficient of thermal conductivity of a rod depends on its

  • A
    area of cross-section.
  • B
    material of the rod.
  • C
    length.
  • D
    mass.

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The thermal conductivities of copper,mercury,and glass are $K_c$,$K_m$,and $K_g$ respectively,such that $K_c > K_m > K_g$. If the same amount of heat flows per unit time through a unit cross-sectional area for each,what is the relationship between their temperature gradients $(X_c, X_m, X_g)$?

The thermal conductivity of copper is $9$ times that of steel. Find the temperature of the junction of copper and steel in the composite rod as shown in the figure (in $^oC$).

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$A$ cylindrical copper rod of length $2 \,m$ and cross-sectional area $2 \,cm^2$ is insulated at its curved surface. One end of the rod is maintained in a steam chamber at $100^{\circ} C$ and the other is maintained in ice at $0^{\circ} C$. The thermal conductivity of copper is $386 \,Js^{-1} \,m^{-1} {}^{\circ} C^{-1}$. Find the temperature at a point which is at a distance of $120 \,cm$ from the colder end. (in $^{\circ} C$)

Rate of flow of heat through a cylindrical rod is $H_1$. The temperatures at the ends of the rod are $T_1$ and $T_2$. If all the dimensions of the rod become double and the temperature difference remains the same, and if the rate of flow of heat becomes $H_2$, then $H_2 =$

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