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Assertion (A): Wing weight rises with aspect ratio at constant area.

Reason (R): A more slender wing carries its bending moment over a longer span with less depth.

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: A

Correct answer: Both A and R are true, and R is the correct explanation of A

Both are true and the reason is the structural argument. At constant area, raising aspect ratio makes the wing longer and narrower. The root bending moment grows with span, while the chord and hence the structural depth available to resist it shrink - and bending stress varies inversely with depth. More material is therefore needed at the root, which is why high aspect ratio buys induced drag at the price of structure weight.

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