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Assertion (A): Constraint analysis alone determines the optimum aspect ratio.

Reason (R): Higher aspect ratio reduces induced drag and hence the thrust required.

Select the correct answer from the options below.

  • A.Both A and R are true, and R is the correct explanation of A
  • B.Both A and R are true, but R is not the correct explanation of A
  • C.A is true but R is false
  • D.A is false but R is true

Answer: D

Correct answer: A is false but R is true

The assertion is false. Constraint analysis cannot determine the optimum aspect ratio, because aspect ratio is an input to it: a value must be assumed before the cruise and climb constraints can be drawn at all.

The reason is true - higher aspect ratio does reduce induced drag and hence the thrust required - but it captures only one side of the trade. The diagram shows the thrust saving and not the structural weight penalty that grows with span, so choosing aspect ratio requires a weight and mission analysis, typically by running the sizing at several values and comparing the results.

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