Physics 9702 · AS & A Level · SI units

SI units — practice question

The luminosity $L$ of a star is defined by $L = 4\pi r^2 \sigma T^4$, where $r$ represents the star's radius, $T$ denotes the star's temperature, and $\sigma$ is a constant with units $\text{W m}^{-2}\,\text{K}^{-4}$. What are the SI base units of $L$?

  • A$\text{kg m}^2\,\text{s}^{-1}$
  • B$\text{kg m}^2\,\text{s}^{-2}$
  • C$\text{kg m}^2\,\text{s}^{-3}$
  • D$\text{kg m}^2\,\text{s}^{-4}$

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