The radiator of an engine is cooled by water because:

  • A
    It has low density.
  • B
    It is easily available.
  • C
    It is cheap.
  • D
    It has a very high specific heat capacity.

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The specific heat $C$ of a solid at low temperature shows temperature dependence according to the relation $C = D T^{3}$, where $D$ is a constant and $T$ is the temperature in Kelvin. $A$ piece of this solid of mass $m \ kg$ is taken and its temperature is raised from $20 \ K$ to $30 \ K$. The amount of heat required in the process in energy units is

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