In a steady state,the temperature at the end $A$ and end $B$ of a $20 \ cm$ long rod $AB$ are $100^{\circ} C$ and $0^{\circ} C$. The temperature of a point,$9 \ cm$ from $A$ is (in $^{\circ} C$)

  • A
    $55$
  • B
    $45$
  • C
    $65$
  • D
    $50$

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Heat flows through a rod of length $50 \ cm$ and cross-sectional area $5 \ cm^{2}$. Its ends are maintained at $25 \ ^\circ C$ and $125 \ ^\circ C$ respectively. The thermal conductivity of the material of the rod is $0.092 \ kcal/m \cdot s \cdot ^\circ C$. The temperature gradient of the rod is ....... $^\circ C/cm$.

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