$A$ thin paper cup filled with water does not catch fire when placed over a flame. This is because

  • A
    the water cuts off oxygen supply to the paper cup
  • B
    water is an excellent conductor of heat
  • C
    the paper cup does not become appreciably hotter than the water it contains
  • D
    paper is a poor conductor of heat

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Heat is flowing through a conductor of length $l$ from $x = 0$ to $x = l$. If its thermal resistance per unit length is uniform,which of the following graphs correctly represents the variation of temperature $T$ with distance $x$?

$A$ rod of length $50 \, cm$ has one end at $25^oC$ and the other end at $125^oC$. The temperature gradient is ....... $^oC/cm$.

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