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A dimensionally homogeneous equation is one in which

  • A.every additive term has the same dimensions
  • B.every term in it is entirely dimensionless
  • C.the units are all drawn from the SI system
  • D.no term in the equation contains an exponent

Answer: A

Terms that are added or equated must carry the same dimensions, which is the first check to make on any derived expression. An equation may be homogeneous and still be written in mixed units, which is a separate problem.

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