Discussion
Three of the following raise the tail volume coefficient. Which does not?
Increasing the wing area
Increasing the tail area
Increasing the tail arm
Lengthening the rear fuselage
Answer: D
Correct answer: Increasing the wing area
Wing area sits in the denominator of both coefficients:
\[ V_H = \frac{S_H\,l_H}{S\,\bar{c}} \]
so increasing \( S \) lowers the tail volume for an unchanged tail. That is a real effect and not merely arithmetic: a bigger wing generates larger moments the tail must balance, so the same tail is relatively less effective.
The other three raise it. Tail area and tail arm are both in the numerator, and lengthening the rear fuselage is how the arm is increased.
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