Discussion
Assertion (A): A longer tail arm allows a smaller tailplane.
Reason (R): Tail volume coefficient is proportional to the product of tail area and tail arm.
Select the correct answer from the options below.
Answer: B
Correct answer: Both A and R are true, and R is the correct explanation of A
Both are true and the reason gives the mechanism. Since
\[ V_H = \frac{S_H\,l_H}{S\,\bar{c}} \]
holding \( V_H \) fixed makes the product \( S_H l_H \) constant, so area and arm trade inversely: double the arm and the area halves.
The trade is not free in either direction. A longer arm needs more rear fuselage structure and moves mass aft; a larger area adds wetted area and drag. Which is preferable depends on the fuselage length the aircraft has for other reasons.
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