Physics 9702 · AS & A Level · SI units

SI units — practice question

When the temperature is near $0\,\text{K}$, the specific heat capacity of a certain solid is described by $c = bT^3$, where $T$ denotes temperature and $b$ is a constant specific to the solid. The SI unit of specific heat capacity is $\text{J kg}^{-1}\text{K}^{-1}$. In SI base units, what is the unit of the constant $b$?

  • A$\text{m}^2\text{s}^{-2}\text{K}^{-3}$
  • B$\text{m}^2\text{s}^{-2}\text{K}^{-4}$
  • C$\text{kg m}^2\text{s}^{-2}\text{K}^{-3}$
  • D$\text{kg m}^2\text{s}^{-2}\text{K}^{-4}$

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