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State whether the following is true or false.
Checking dimensional homogeneity can prove that an equation is correct.

  • A.True
  • B.False
  • C.True only at large scales
  • D.False only at small scales

Answer: B

It can only prove an equation wrong, since a dimensionally consistent equation may still carry the wrong numerical coefficient. It remains the cheapest single check available. Running it before any arithmetic saves a great deal of time.

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