Discussion
Assertion (A): Lengthening the fuselage is often preferred to enlarging the tailplane.
Reason (R): Tail volume ratio scales with the moment arm as well as with the area.
Select the correct answer from the options below.
Answer: A
Correct answer: Both A and R are true, and R is the correct explanation of A
Both are true and the reason explains the preference. The tail volume ratio is \[ \bar{V}_H = \frac{S_t\,l_t}{S\,\bar{c}}, \] which is linear in the moment arm as well as in the area. Extra arm therefore buys the same stability as extra area but adds far less wetted area and weight in the tail, where weight is most costly to balance.
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