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Please note that the angle given in the question is with vertical while in general the formula is derived for angle with horizontal.






Molecular forces vanishes away meaning concept of gases is to be utilized.

Due to gravity tendency of a falling ball is of increasing velocity but due to viscous force (dragging) and thrust it faces upward force, out of these two the drag increases as velocity increases so after some time gravity is countered by thrust and drag.(upward) so no further increment in velocity.

Shorter pendulum faster oscillations.

