The tendency for unguided rockets to 'weather cock' increases with which of the following factors?

Weathercocking refers to the tendency of a rocket to align itself with the wind during ascent, which can lead to deviations from the intended flight path. The area of the fin plays a crucial role in the stability and control of a rocket during flight. Larger fins provide greater aerodynamic surface area, which increases the stability of the rocket by allowing it to more effectively counteract lateral forces from the wind.

When winds are present, larger fins provide increased drag that helps to steer the rocket back into alignment with the wind direction. If the fin area is small, the rocket may be more susceptible to being pushed off course by winds, leading to more pronounced weathercocking. Therefore, as the area of the fin increases, the ability of the rocket to resist these lateral forces improves, thereby enhancing its stability and reducing the tendency to weathercock.

In contrast, the weight, length, and type of rocket motor can influence the overall dynamics of the rocket, but they do not have as direct an impact on the weathercocking phenomenon itself compared to the fin area. Weight may affect flight trajectory and stability in a different manner, while the type of rocket motor can influence thrust and acceleration but does not directly change how the rocket's fins interact with wind forces. Length affects