Discussion
Assertion (A): Dimensional analysis reduces the number of variables an experiment must cover.
Reason (R): The Buckingham pi theorem shows that a relation among n variables with k dimensions reduces to one among n minus k groups.
Answer: C
Both are true and the reason gives the mechanism: an experiment that would need five variables varied independently may reduce to two dimensionless groups, cutting the work by orders of magnitude. It also tells you how to scale a model to full size.
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